Prime p₀= 2313311326720529909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: WTBroughton
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2313309326689728853	0 28 30 100 118 126 166 250 324 408 448 456 474 544 546 574	-2000030801056
SPT(16)	2313309780958910161	0 16 22 46 58 60 70 88 120 138 148 150 162 186 192 208	-1545761619748
SPT(16)	2313310381011005693	0 66 80 108 126 140 158 176 240 258 276 290 308 336 350 416	-945709524216
STPT(10)	2313310469090074187	0 2 30 32 42 44 54 56 84 86	-857630455722
STPT(10)	2313310546321631951	0 2 6 8 48 50 90 92 96 98	-780398897958
SPT(16)	2313311276691773087	0 2 6 104 140 164 200 254 372 426 462 486 522 620 624 626	-50028756822
SPT(16)	2313311729710204523	0 6 44 56 60 80 84 86 144 146 150 170 174 186 224 230	402989674614
SPT(16)	2313311815678525031	0 38 42 62 102 122 140 168 212 240 258 278 318 338 342 380	488957995122
SPT(16)	2313312000306993467	0 56 66 96 116 146 210 222 320 332 396 426 446 476 486 542	673586463558
STPT(10)	2313312269081765891	0 2 36 38 78 80 120 122 156 158	942361235982
STPT(10)	2313312469067946677	0 2 60 62 102 104 144 146 204 206	1142347416768