Prime p₀= 2316568784252544137 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: Vato
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2316567652549691309	0 2 18 20 30 32 42 44 60 62	-1131702852828
SPT(16)	2316567725619514963	0 18 30 70 78 88 96 120 214 238 246 256 264 304 316 334	-1058633029174
SPT(16)	2316568161180959401	0 46 118 126 130 160 312 352 396 436 588 618 622 630 702 748	-623071584736
STPT(10)	2316568316165161109	0 2 78 80 120 122 162 164 240 242	-468087383028
STPT(10)	2316568612337837447	0 2 42 44 72 74 102 104 144 146	-171914706690
SPT(16)	2316568774883968961	0 2 48 56 72 80 90 108 170 188 198 206 222 230 276 278	-9368575176
SPT(16)	2316569359657600841	0 6 56 92 146 260 300 308 330 338 378 492 546 582 632 638	575405056704
STPT(10)	2316569520140778347	0 2 30 32 42 44 54 56 84 86	735888234210
SPT(16)	2316569919341548111	0 10 28 30 36 66 72 82 96 106 112 142 148 150 168 178	1135089003974
SPT(16)	2316570154798605163	0 6 28 30 34 64 76 90 94 108 120 150 154 156 178 184	1370546061026
STPT(10)	2316570270102118739	0 2 18 20 60 62 102 104 120 122	1485849574602