Prime p₀= 813711840367118657 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)	813709739797408211	0 2 6 8 18 20 30 32 36 38	-2100569710446
TPT(14)	813709761147724499	0 2 42 44 60 62 90 92 210 212 288 290 312 314	-2079219394158
SPT(16)	813710467969196687	0 30 42 74 110 152 164 170 234 240 252 294 330 362 374 404	-1372397921970
SPT(16)	813710519576963447	0 24 36 50 60 74 90 96 104 110 126 140 150 164 176 200	-1320790155210
SPT(16)	813710939508605239	0 12 30 40 78 84 132 154 168 190 238 244 282 292 310 322	-900858513418
STPT(10)	813711243788364809	0 2 18 20 30 32 42 44 60 62	-596578753848
STPT(10)	813711969130323971	0 2 36 38 78 80 120 122 156 158	128763205314
STPT(12)	813712091509106807	0 2 42 44 90 92 174 176 222 224 264 266	251141988150
STPT(12)	813712494846179867	0 2 12 14 24 26 30 32 42 44 54 56	654479061210
SPT(16)	813712620520522559	0 12 14 30 44 104 114 132 152 170 180 240 254 270 272 284	780153403902
SPT(16)	813712819108456859	0 42 62 132 140 144 158 170 282 294 308 312 320 390 410 452	978741338202