Prime p₀= 878725413699187697 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: GLeeM
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	878724885216336209	0 2 18 20 30 32 42 44 60 62	-528482851488
STPT(10)	878724902987166797	0 2 42 44 72 74 102 104 144 146	-510712020900
STPT(10)	878724993310270661	0 2 36 38 78 80 120 122 156 158	-420388917036
TPT(14)	878725111254224249	0 2 30 32 72 74 78 80 138 140 168 170 210 212	-302444963448
SPT(16)	878725236991679137	0 42 46 82 180 190 196 232 264 300 306 316 414 450 454 496	-176707508560
SPT(16)	878725259456819963	0 68 80 84 86 114 194 200 234 240 320 348 350 354 366 434	-154242367734
SPT(16)	878725451858964769	0 22 24 82 90 108 198 220 222 244 334 352 360 418 420 442	38159777072
SPT(16)	878725911407780453	0 30 56 80 90 108 128 146 150 168 188 206 216 240 266 296	497708592756
STPT(10)	878725948803030191	0 2 6 8 108 110 210 212 216 218	535103842494
TPT(14)	878726014629604409	0 2 30 32 90 92 132 134 162 164 228 230 240 242	600930416712
SPT(16)	878726610147225877	0 36 70 90 94 100 102 114 232 244 246 252 256 276 310 346	1196448038180