Prime p₀= 2356717192047554459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2356716908519121817	0 16 34 36 70 102 114 126 160 172 184 216 250 252 270 286	-283528432642
SPT(16)	2356716951950841881	0 30 146 168 170 198 206 258 308 360 368 396 398 420 536 566	-240096712578
STPT(10)	2356716958716502901	0 2 36 38 78 80 120 122 156 158	-233331051558
SPT(16)	2356716963807659149	0 4 28 78 114 118 124 160 168 204 210 214 250 300 324 328	-228239895310
SPT(16)	2356717131444220357	0 22 24 70 82 106 112 114 262 264 270 294 306 352 354 376	-60603334102
SPT(16)	2356717162907677589	0 12 18 38 48 50 54 90 152 188 192 194 204 224 230 242	-29139876870
SPT(16)	2356717264507239223	0 18 30 84 108 118 120 130 174 184 186 196 220 274 286 304	72459684764
SPT(16)	2356717439217562489	0 40 60 82 102 154 168 204 238 274 288 340 360 382 402 442	247170008030
TPT(14)	2356717443400785719	0 2 42 44 60 62 90 92 198 200 372 374 408 410	251353231260
STPT(10)	2356719452898279011	0 2 6 8 48 50 90 92 96 98	2260850724552
SPT(16)	2356719481110524867	0 30 54 72 74 102 110 116 120 126 134 162 164 182 206 236	2289062970408