Prime p₀= 2316568612337837447 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Vato
db: batch=81, k=10, 2 40 2 28 2

STPT(10)	2316567073228656839	0 2 48 50 90 92 132 134 180 182	-1539109180608
SPT(16)	2316567319108519777	0 6 40 70 150 174 180 210 226 256 262 286 366 396 430 436	-1293229317670
STPT(10)	2316567652549691309	0 2 18 20 30 32 42 44 60 62	-959788146138
SPT(16)	2316567725619514963	0 18 30 70 78 88 96 120 214 238 246 256 264 304 316 334	-886718322484
SPT(16)	2316568161180959401	0 46 118 126 130 160 312 352 396 436 588 618 622 630 702 748	-451156878046
STPT(10)	2316568316165161109	0 2 78 80 120 122 162 164 240 242	-296172676338
SPT(16)	2316568774883968961	0 2 48 56 72 80 90 108 170 188 198 206 222 230 276 278	162546131514
STPT(10)	2316568784252544137	0 2 30 32 42 44 54 56 84 86	171914706690
SPT(16)	2316569359657600841	0 6 56 92 146 260 300 308 330 338 378 492 546 582 632 638	747319763394
STPT(10)	2316569520140778347	0 2 30 32 42 44 54 56 84 86	907802940900
SPT(16)	2316569919341548111	0 10 28 30 36 66 72 82 96 106 112 142 148 150 168 178	1307003710664