Prime p₀= 2959000594544942257 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 30 6 4 14 22 8 106 8 22 14 4 6 30 36 (?)
a_n: 0 36 66 72 76 90 112 120 226 234 256 270 274 280 310 346
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 346
Found by: [SG-2W]Kurzer
db: batch=82, k=16, 36 30 6 4 14 22 8 106

STPT(10)	2958998609276505581	0 2 36 38 78 80 120 122 156 158	-1985268436676
SPT(16)	2958998713660971119	0 8 78 80 102 120 168 218 234 284 332 350 372 374 444 452	-1880883971138
SPT(20)	2958998730442641301	0 10 16 18 46 52 60 90 112 126 202 216 238 268 276 282 310 312 318 328	-1864102300956
SPT(16)	2958999300962742617	0 6 54 114 116 126 140 164 216 240 254 264 266 326 374 380	-1293582199640
SPT(16)	2958999434160507107	0 84 102 104 170 194 222 230 234 242 270 294 360 362 380 464	-1160384435150
SPT(16)	2958999905429259557	0 42 56 60 74 104 110 116 120 126 132 162 176 180 194 236	-689115682700
SPT(16)	2959000997585428373	0 26 50 110 120 128 186 194 270 278 336 344 354 414 438 464	403040486116
SPT(16)	2959001317846404937	0 36 40 42 52 94 96 106 210 220 222 264 274 276 280 316	723301462680
SPT(16)	2959001326071441019	0 64 78 108 174 234 238 244 264 270 274 334 400 430 444 508	731526498762
SPT(16)	2959001731757990551	0 28 66 76 96 112 118 132 196 210 216 232 252 262 300 328	1137213048294
SPT(16)	2959001734396979413	0 24 46 60 84 88 90 108 136 154 156 160 184 198 220 244	1139852037156