Prime p₀= 776028788532634079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: GLeeM
db: batch=73, k=10, 2 16 2 40 2

STPT(10)	776027006760646757	0 2 30 32 42 44 54 56 84 86	-1781771987322
SPT(16)	776027030379887431	0 6 10 12 48 96 112 136 162 186 202 250 286 288 292 298	-1758152746648
STPT(12)	776027452959428627	0 2 12 14 42 44 72 74 102 104 114 116	-1335573205452
STPT(10)	776027902493540237	0 2 30 32 72 74 114 116 144 146	-886039093842
STPT(10)	776028599296643879	0 2 18 20 30 32 42 44 60 62	-189235990200
SPT(16)	776028648465772159	0 22 30 52 54 72 78 94 168 184 190 208 210 232 240 262	-140066861920
SPT(16)	776028850723238213	0 8 36 44 50 140 150 156 188 194 204 294 300 308 336 344	62190604134
STPT(10)	776029163029931021	0 2 30 32 78 80 126 128 156 158	374497296942
SPT(16)	776029240172188901	0 26 56 68 86 152 156 188 240 272 276 342 360 372 402 428	451639554822
SPT(16)	776029499249683201	0 6 46 108 118 132 186 210 238 262 316 330 340 402 442 448	710717049122
SPT(16)	776029802618989561	0 18 42 70 76 126 166 178 210 222 262 312 318 346 370 388	1014086355482