Prime p₀= 2681447553971243053 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 20 4 20 22 18 6 110 6 18 22 20 4 20 34 (?)
a_n: 0 34 54 58 78 100 118 124 234 240 258 280 300 304 324 358
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: 358
Found by: JayPi
db: batch=82, k=16, 34 20 4 20 22 18 6 110

SPT(16)	2681446260702483401	0 8 12 30 66 72 78 98 180 200 206 212 248 266 270 278	-1293268759652
STPT(10)	2681446309954352849	0 2 18 20 30 32 42 44 60 62	-1244016890204
SPT(16)	2681446361220178969	0 4 28 72 82 88 138 154 228 244 294 300 310 354 378 382	-1192751064084
SPT(16)	2681446473491800247	0 50 60 84 114 120 140 150 224 234 254 260 290 314 324 374	-1080479442806
SPT(16)	2681446609122378901	0 66 88 126 180 196 198 220 258 280 282 298 352 390 412 478	-944848864152
STPT(10)	2681447464508646017	0 2 30 32 60 62 90 92 120 122	-89462597036
STPT(10)	2681447572176242171	0 2 30 32 78 80 126 128 156 158	18204999118
SPT(16)	2681447748608607983	0 78 86 96 114 116 134 156 158 180 198 200 218 228 236 314	194637364930
SPT(16)	2681447775904473181	0 40 46 78 106 118 130 138 190 198 210 222 250 282 288 328	221933230128
STPT(10)	2681448635946336041	0 2 36 38 78 80 120 122 156 158	1081975092988
STPT(10)	2681449081991093171	0 2 6 8 18 20 30 32 36 38	1528019850118