Prime p₀= 2964874327105212131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: suriv
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2964872564617740659	0 72 80 108 110 120 128 158 204 234 242 252 254 282 290 362	-1762487471472
TPT(14)	2964872615958512669	0 2 12 14 18 20 42 44 102 104 180 182 198 200	-1711146699462
SPT(16)	2964872708782392559	0 90 112 132 144 204 208 222 280 294 298 358 370 390 412 502	-1618322819572
STPT(10)	2964873468553889411	0 2 36 38 78 80 120 122 156 158	-858551322720
SPT(13)	2964873719541050833	0 6 54 66 96 126 150 174 204 234 246 294 300	-607564161298
STPT(10)	2964873976092548711	0 2 36 38 78 80 120 122 156 158	-351012663420
SPT(16)	2964874516412854429	0 18 48 52 88 94 138 234 238 334 378 384 420 424 454 472	189307642298
STPT(10)	2964874598816809487	0 2 12 14 42 44 72 74 84 86	271711597356
STPT(10)	2964874705234538597	0 2 12 14 72 74 132 134 144 146	378129326466
SPT(16)	2964874713205554763	0 78 84 108 126 136 160 168 196 204 228 238 256 280 286 364	386100342632
STPT(10)	2964875398027956167	0 2 30 32 42 44 54 56 84 86	1070922744036