Prime p₀= 4062979344650043887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [AF] Kalianthys
db: batch=84, k=10, 2 22 2 16 2

SPT(16)	4062977907761907461	0 18 26 56 60 126 132 152 216 236 242 308 312 342 350 368	-1436888136426
SPT(16)	4062978049599713009	0 20 30 80 98 132 164 168 194 198 230 264 282 332 342 362	-1295050330878
SPT(16)	4062978176122501579	0 28 88 100 114 118 142 198 214 270 294 298 312 324 384 412	-1168527542308
STPT(10)	4062979071625286999	0 2 42 44 90 92 138 140 180 182	-273024756888
SPT(16)	4062979202280188011	0 30 48 82 106 132 142 148 210 216 226 252 276 310 328 358	-142369855876
SPT(16)	4062979225045270949	0 2 12 14 38 60 68 80 132 144 152 174 198 200 210 212	-119604772938
SPT(16)	4062979878151266341	0 2 66 126 128 150 162 218 240 296 308 330 332 392 456 458	533501222454
SPT(16)	4062979894829277739	0 10 70 72 78 150 172 202 270 300 322 394 400 402 462 472	550179233852
STPT(10)	4062980112210553901	0 2 6 8 48 50 90 92 96 98	767560510014
STPT(10)	4062980532895385537	0 2 42 44 72 74 102 104 144 146	1188245341650
STPT(10)	4062981245312884589	0 2 30 32 60 62 90 92 120 122	1900662840702