Prime p₀= 1266500879141413961 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 6 24 44 18 52 30 38 30 52 18 44 24 6 36 (?)
a_n: 0 36 42 66 110 128 180 210 248 278 330 348 392 416 422 458
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: 458
Found by: Megacruncher
db: batch=77, k=16, 36 6 24 44 18 52 30 38

TPT(14)	1266499738312106531	0 2 30 32 48 50 78 80 126 128 228 230 288 290	-1140829307430
SPT(16)	1266500030046509717	0 2 6 20 26 32 42 86 156 200 210 216 222 236 240 242	-849094904244
SPT(16)	1266500065113822529	0 4 34 48 82 130 168 238 264 334 372 420 454 468 498 502	-814027591432
SPT(16)	1266500150968476097	0 10 24 46 94 112 130 144 202 216 234 252 300 322 336 346	-728172937864
SPT(16)	1266500536076650741	0 12 18 48 52 58 72 132 136 196 210 216 220 250 256 268	-343064763220
SPT(16)	1266500867583899993	0 14 56 84 86 104 108 134 210 236 240 258 260 288 330 344	-11557513968
STPT(10)	1266500924731492127	0 2 60 62 72 74 84 86 144 146	45590078166
SPT(16)	1266501111811296409	0 12 90 124 130 138 168 174 178 184 214 222 228 262 340 352	232669882448
STPT(12)	1266501156174129131	0 2 60 62 90 92 168 170 198 200 258 260	277032715170
STPT(10)	1266501201231317729	0 2 18 20 30 32 42 44 60 62	322089903768
SPT(16)	1266501310437404683	0 24 48 66 78 90 168 178 186 196 274 286 298 316 340 364	431295990722