Prime p₀= 2776248039198003257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2776245793214594593	0 6 70 84 90 166 198 204 250 256 288 364 370 384 448 454	-2245983408664
SPT(16)	2776246481908305187	0 6 36 40 46 52 82 94 162 174 204 210 216 220 250 256	-1557289698070
SPT(16)	2776246598308183463	0 30 56 60 108 114 134 140 144 150 170 176 224 228 254 284	-1440889819794
STPT(12)	2776246898347853597	0 2 42 44 120 122 132 134 210 212 252 254	-1140850149660
STPT(10)	2776247351601235409	0 2 18 20 30 32 42 44 60 62	-687596767848
STPT(10)	2776247749282502861	0 2 36 38 78 80 120 122 156 158	-289915500396
SPT(16)	2776248044284821917	0 20 114 140 156 170 174 186 194 206 210 224 240 266 360 380	5086818660
SPT(16)	2776248336464218507	0 30 36 40 72 112 126 132 190 196 210 250 282 286 292 322	297266215250
SPT(16)	2776248529739384473	0 36 118 130 156 196 210 228 268 286 300 340 366 378 460 496	490541381216
SPT(16)	2776248790630941331	0 6 16 82 88 136 166 208 270 312 342 390 396 462 472 478	751432938074
SPT(16)	2776249013504045203	0 24 34 36 70 78 90 120 124 154 166 174 208 210 220 244	974306041946