Prime p₀= 2316568316165161109 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Vato
db: batch=81, k=10, 2 76 2 40 2

STPT(10)	2316567000621988019	0 2 42 44 90 92 138 140 180 182	-1315543173090
STPT(10)	2316567073228656839	0 2 48 50 90 92 132 134 180 182	-1242936504270
SPT(16)	2316567319108519777	0 6 40 70 150 174 180 210 226 256 262 286 366 396 430 436	-997056641332
STPT(10)	2316567652549691309	0 2 18 20 30 32 42 44 60 62	-663615469800
SPT(16)	2316567725619514963	0 18 30 70 78 88 96 120 214 238 246 256 264 304 316 334	-590545646146
SPT(16)	2316568161180959401	0 46 118 126 130 160 312 352 396 436 588 618 622 630 702 748	-154984201708
STPT(10)	2316568612337837447	0 2 42 44 72 74 102 104 144 146	296172676338
SPT(16)	2316568774883968961	0 2 48 56 72 80 90 108 170 188 198 206 222 230 276 278	458718807852
STPT(10)	2316568784252544137	0 2 30 32 42 44 54 56 84 86	468087383028
SPT(16)	2316569359657600841	0 6 56 92 146 260 300 308 330 338 378 492 546 582 632 638	1043492439732
STPT(10)	2316569520140778347	0 2 30 32 42 44 54 56 84 86	1203975617238