Prime p₀= 1257817817594832581 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: emoga
db: batch=77, k=10, 2 4 2 40 2

SPT(16)	1257816193402256867	0 12 14 26 36 54 66 84 92 110 122 140 150 162 164 176	-1624192575714
STPT(10)	1257816612554985101	0 2 48 50 108 110 168 170 216 218	-1205039847480
SPT(16)	1257816690048645019	0 10 12 34 42 60 72 90 94 112 124 142 150 172 174 184	-1127546187562
SPT(16)	1257817224612349301	0 32 42 68 90 110 116 168 200 252 258 278 300 326 336 368	-592982483280
SPT(16)	1257817295123056457	0 14 26 30 96 114 116 170 180 234 236 254 320 324 336 350	-522471776124
STPT(10)	1257817617265749611	0 2 36 38 78 80 120 122 156 158	-200329082970
SPT(16)	1257817823592070369	0 4 30 48 58 118 154 168 214 228 264 324 334 352 378 382	5997237788
STPT(10)	1257818011484225909	0 2 12 14 90 92 168 170 180 182	193889393328
STPT(10)	1257818229621877697	0 2 54 56 72 74 90 92 144 146	412027045116
TPT(14)	1257818422047050789	0 2 30 32 78 80 90 92 198 200 228 230 258 260	604452218208
TPT(14)	1257818556041068319	0 2 48 50 258 260 282 284 462 464 522 524 600 602	738446235738