Prime p₀= 976876062941153621 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: Theadalus
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	976875161926132871	0 20 30 80 122 180 182 210 278 306 308 366 408 458 468 488	-901015020750
STPT(10)	976875167328259049	0 2 48 50 90 92 132 134 180 182	-895612894572
SPT(16)	976875324835010743	0 64 70 76 84 114 120 130 174 184 190 220 228 234 240 304	-738106142878
STPT(10)	976875355696921529	0 2 30 32 60 62 90 92 120 122	-707244232092
TPT(14)	976875750375842789	0 2 138 140 162 164 168 170 192 194 222 224 258 260	-312565310832
SPT(16)	976875894225411781	0 40 46 52 60 66 76 82 96 102 112 118 126 132 138 178	-168715741840
SPT(16)	976876324903155163	0 6 58 100 180 196 244 264 310 330 378 394 474 516 568 574	261962001542
STPT(10)	976876474607170901	0 2 30 32 78 80 126 128 156 158	411666017280
STPT(10)	976876596726375647	0 2 30 32 42 44 54 56 84 86	533785222026
SPT(16)	976877453431666009	0 34 72 90 132 144 150 172 240 262 268 280 322 340 378 412	1390490512388
SPT(16)	976877494175977573	0 4 28 48 54 58 76 106 138 168 186 190 196 216 240 244	1431234823952