Prime p₀= 2576853722035433177 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2576851720561301369	0 2 42 44 90 92 138 140 180 182	-2001474131808
SPT(16)	2576851793309533049	0 14 24 44 48 62 90 98 114 122 150 164 168 188 198 212	-1928725900128
STPT(12)	2576852008534276637	0 2 90 92 132 134 162 164 204 206 294 296	-1713501156540
SPT(18)	2576852453582258503	0 4 36 60 64 70 78 84 108 166 190 196 204 210 214 238 270 274	-1268453174674
SPT(16)	2576853390751945567	0 6 12 40 66 82 96 142 150 196 210 226 252 280 286 292	-331283487610
SPT(16)	2576853692201567963	0 18 20 48 56 66 78 108 158 188 200 210 218 246 248 266	-29833865214
STPT(10)	2576853765292865909	0 2 12 14 90 92 168 170 180 182	43257432732
STPT(10)	2576853771050826269	0 2 30 32 60 62 90 92 120 122	49015393092
SPT(16)	2576854025466461999	0 12 24 90 152 174 242 264 320 342 410 432 494 560 572 584	303431028822
STPT(10)	2576854151688793577	0 2 12 14 42 44 72 74 84 86	429653360400
SPT(16)	2576854304089060769	0 50 72 102 114 132 140 144 170 174 182 200 212 242 264 314	582053627592