Prime p₀= 741131686493109797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Theadalus
db: batch=73, k=10, 2 28 2 10 2

TPT(14)	741130486467098051	0 2 30 32 78 80 120 122 156 158 186 188 288 290	-1200026011746
SPT(16)	741130517093501707	0 40 82 102 124 154 162 222 232 292 300 330 352 372 414 454	-1169399608090
SPT(18)	741130653272970803	0 14 38 50 56 90 98 104 126 128 150 156 164 198 204 216 240 254	-1033220138994
STPT(12)	741131363525571881	0 2 30 32 78 80 120 122 168 170 198 200	-322967537916
SPT(16)	741131506959200809	0 22 30 64 90 124 180 190 222 232 288 322 348 382 390 412	-179533908988
STPT(10)	741131589239281061	0 2 6 8 48 50 90 92 96 98	-97253828736
SPT(16)	741131770430925917	0 14 24 80 96 134 150 234 266 350 366 404 420 476 486 500	83937816120
SPT(16)	741131784082903229	0 18 20 32 42 48 104 128 144 168 224 230 240 252 254 272	97589793432
STPT(10)	741131791708314239	0 2 48 50 60 62 72 74 120 122	105215204442
SPT(16)	741131858771004619	0 64 142 168 210 234 310 322 450 462 538 562 604 630 708 772	172277894822
SPT(16)	741131935046971807	0 6 34 66 70 132 166 210 316 360 394 456 460 492 520 526	248553862010