Prime p₀= 805571478696755777 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: [SG]FX
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	805570786441549241	0 2 36 38 78 80 120 122 156 158	-692255206536
TPT(14)	805570846604293631	0 2 30 32 78 80 120 122 138 140 156 158 168 170	-632092462146
STPT(10)	805570978873420379	0 2 42 44 90 92 138 140 180 182	-499823335398
SPT(16)	805571042555211529	0 10 34 64 88 108 148 154 168 174 214 234 258 288 312 322	-436141544248
STPT(10)	805571129067272669	0 2 12 14 90 92 168 170 180 182	-349629483108
SPT(16)	805571225559835909	0 72 94 102 132 168 214 220 342 348 394 430 460 468 490 562	-253136919868
SPT(16)	805571579887515361	0 16 46 48 72 76 88 172 186 270 282 286 310 312 342 358	101190759584
SPT(16)	805571757892384519	0 12 54 72 78 84 130 148 204 222 268 274 280 298 340 352	279195628742
STPT(10)	805571814188833121	0 2 6 8 108 110 210 212 216 218	335492077344
SPT(16)	805571922188757439	0 4 52 72 78 84 102 118 144 160 178 184 190 210 258 262	443492001662
STPT(10)	805572023847949451	0 2 36 38 78 80 120 122 156 158	545151193674