Prime p₀= 775058548351578947 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)	775057742978280401	0 2 6 8 48 50 90 92 96 98	-805373298546
SPT(16)	775057922270012033	0 14 20 48 56 98 104 108 116 120 126 168 176 204 210 224	-626081566914
STPT(10)	775057993415839829	0 2 48 50 90 92 132 134 180 182	-554935739118
SPT(16)	775058058437597401	0 10 60 88 96 106 108 130 186 208 210 220 228 256 306 316	-489913981546
SPT(16)	775058224109898713	0 36 78 84 90 96 134 140 144 150 188 194 200 206 248 284	-324241680234
SPT(16)	775058232149822171	0 18 80 90 108 126 132 146 162 176 182 200 218 228 290 308	-316201756776
STPT(10)	775058577707120849	0 2 18 20 30 32 42 44 60 62	29355541902
SPT(16)	775058846639674489	0 22 40 78 112 148 244 258 364 378 474 510 544 582 600 622	298288095542
SPT(16)	775059436252737991	0 12 36 78 82 106 136 148 210 222 252 276 280 322 346 358	887901159044
SPT(16)	775059523482919159	0 30 34 58 78 148 160 168 190 198 210 280 300 324 328 358	975131340212
SPT(16)	775059609500372407	0 30 40 84 102 112 142 186 190 234 264 274 292 336 346 376	1061148793460