Prime p₀= 805571129067272669 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: [SG]FX
db: batch=73, k=10, 2 10 2 76 2

SPT(16)	805570707672856823	0 26 48 60 68 78 90 140 144 194 206 216 224 236 258 284	-421394415846
SPT(16)	805570786441549087	0 24 42 154 156 190 192 232 234 274 276 310 312 424 442 466	-342625723582
STPT(10)	805570786441549241	0 2 36 38 78 80 120 122 156 158	-342625723428
TPT(14)	805570846604293631	0 2 30 32 78 80 120 122 138 140 156 158 168 170	-282462979038
STPT(10)	805570978873420379	0 2 42 44 90 92 138 140 180 182	-150193852290
SPT(16)	805571042555211529	0 10 34 64 88 108 148 154 168 174 214 234 258 288 312 322	-86512061140
SPT(16)	805571225559835909	0 72 94 102 132 168 214 220 342 348 394 430 460 468 490 562	96492563240
STPT(10)	805571478696755777	0 2 30 32 42 44 54 56 84 86	349629483108
SPT(16)	805571579887515361	0 16 46 48 72 76 88 172 186 270 282 286 310 312 342 358	450820242692
SPT(16)	805571757892384519	0 12 54 72 78 84 130 148 204 222 268 274 280 298 340 352	628825111850
STPT(10)	805571814188833121	0 2 6 8 108 110 210 212 216 218	685121560452