Prime p₀= 2312152317145016111 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: Landjunge
db: batch=81, k=10, 2 76 2 28 2

SPT(16)	2312150758620616477	0 22 36 42 102 186 196 240 256 300 310 394 454 460 474 496	-1558524399634
TPT(14)	2312150938943803457	0 2 12 14 42 44 210 212 222 224 372 374 420 422	-1378201212654
STPT(10)	2312151062483041529	0 2 162 164 180 182 198 200 360 362	-1254661974582
STPT(10)	2312151540005707187	0 2 60 62 72 74 84 86 144 146	-777139308924
STPT(10)	2312151738291532349	0 2 42 44 60 62 78 80 120 122	-578853483762
SPT(16)	2312152074038465201	0 30 96 132 156 200 230 242 366 378 408 452 476 512 578 608	-243106550910
STPT(10)	2312152318465653509	0 2 18 20 30 32 42 44 60 62	1320637398
TPT(14)	2312152464701204819	0 2 12 14 42 44 78 80 150 152 168 170 180 182	147556188708
SPT(16)	2312152656916053839	0 18 128 188 200 210 240 254 324 338 368 378 390 450 560 578	339771037728
TPT(16)	2312152892622683417	0 2 24 26 30 32 84 86 150 152 180 182 192 194 234 236	575477667306
SPT(16)	2312152930928716481	0 6 86 90 156 228 240 300 338 398 410 482 548 552 632 638	613783700370