Prime p₀= 772809170841108197 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: scrap
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	772808264452190171	0 2 6 8 18 20 30 32 36 38	-906388918026
STPT(10)	772808317998678131	0 2 30 32 78 80 126 128 156 158	-852842430066
SPT(16)	772808499956662111	0 22 28 42 70 88 90 96 112 118 120 138 166 180 186 208	-670884446086
STPT(10)	772808729489521091	0 2 6 8 48 50 90 92 96 98	-441351587106
SPT(16)	772808822768613497	0 6 14 32 44 54 230 236 270 276 452 462 474 492 500 506	-348072494700
STPT(10)	772808900426253149	0 2 18 20 30 32 42 44 60 62	-270414855048
SPT(16)	772809221957893291	0 12 70 112 118 156 178 196 222 240 262 300 306 348 406 418	51116785094
SPT(16)	772809455942796539	0 12 42 68 72 80 122 150 182 210 252 260 264 290 320 332	285101688342
SPT(16)	772809485774959667	0 6 12 26 110 140 180 210 212 242 282 312 396 410 416 422	314933851470
STPT(10)	772809618961105931	0 2 6 8 18 20 30 32 36 38	448119997734
SPT(16)	772809740037704507	0 6 12 56 62 80 102 150 266 314 336 354 360 404 410 416	569196596310