Prime p₀= 788146233023652869 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: [SG]FX
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	788145224341644779	0 24 30 68 78 80 120 168 194 242 282 284 294 332 338 362	-1008682008090
STPT(10)	788145444319716311	0 2 6 8 48 50 90 92 96 98	-788703936558
SPT(16)	788145519353883791	0 48 50 62 72 86 102 128 330 356 372 386 396 408 410 458	-713669769078
TPT(14)	788145702262217699	0 2 12 14 30 32 72 74 138 140 168 170 210 212	-530761435170
SPT(16)	788145801134901499	0 12 78 90 114 120 124 160 162 198 202 208 232 244 310 322	-431888751370
SPT(16)	788146073930078833	0 48 84 88 100 138 168 216 238 286 316 354 366 370 406 454	-159093574036
TPT(14)	788146422398480207	0 2 12 14 72 74 150 152 192 194 234 236 294 296	189374827338
SPT(16)	788147152481089157	0 42 56 60 66 120 126 150 152 176 182 236 242 246 260 302	919457436288
STPT(10)	788147245248141587	0 2 12 14 72 74 132 134 144 146	1012224488718
STPT(10)	788147468450470109	0 2 18 20 60 62 102 104 120 122	1235426817240
SPT(16)	788147528186150329	0 42 54 72 88 108 120 142 150 172 184 204 220 238 250 292	1295162497460