Prime p₀= 1117745082623395451 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: stoneageman
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1117743923629746121	0 10 18 60 70 102 108 112 186 190 196 228 238 280 288 298	-1158993649330
STPT(10)	1117744660930899107	0 2 30 32 42 44 54 56 84 86	-421692496344
SPT(18)	1117744716393491689	0 18 42 54 90 94 130 154 172 180 198 222 258 262 298 310 334 352	-366229903762
SPT(16)	1117744883549083919	0 2 20 38 62 98 140 162 260 282 324 360 384 402 420 422	-199074311532
SPT(16)	1117744946599524571	0 52 58 60 96 126 130 132 136 138 142 172 208 210 216 268	-136023870880
STPT(10)	1117745056003001561	0 2 36 38 78 80 120 122 156 158	-26620393890
TPT(14)	1117745627067434471	0 2 30 32 36 38 96 98 108 110 210 212 240 242	544444039020
TPT(14)	1117745633511340649	0 2 48 50 60 62 90 92 132 134 228 230 342 344	550887945198
STPT(10)	1117745844738664187	0 2 54 56 72 74 90 92 144 146	762115268736
STPT(10)	1117745907713091257	0 2 30 32 42 44 54 56 84 86	825089695806
STPT(10)	1117746526742915747	0 2 60 62 72 74 84 86 144 146	1444119520296