Prime p₀= 797145897286290857 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: Jeff17
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	797145184956007403	0 8 14 36 60 74 96 116 228 248 270 284 308 330 336 344	-712330283454
TPT(14)	797145345818746049	0 2 12 14 72 74 102 104 108 110 180 182 228 230	-551467544808
SPT(16)	797145418553487977	0 24 32 42 50 56 80 182 204 306 330 336 344 354 362 386	-478732802880
STPT(10)	797145622908713579	0 2 48 50 90 92 132 134 180 182	-274377577278
STPT(10)	797145626791793957	0 2 30 32 42 44 54 56 84 86	-270494496900
STPT(10)	797145738610856597	0 2 30 32 42 44 54 56 84 86	-158675434260
SPT(16)	797145911541161821	0 22 30 78 88 106 108 148 150 190 192 210 220 268 276 298	14254870964
STPT(10)	797146217290389089	0 2 12 14 30 32 48 50 60 62	320004098232
SPT(16)	797146554108380849	0 14 24 50 60 62 72 74 90 92 102 104 114 140 150 164	656822089992
STPT(10)	797146766806298771	0 2 36 38 78 80 120 122 156 158	869520007914
STPT(10)	797146808702735537	0 2 54 56 72 74 90 92 144 146	911416444680