Prime p₀= 2583256178574480257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2583254416656866531	0 38 60 98 116 126 140 168 200 228 242 252 270 308 330 368	-1761917613726
SPT(16)	2583254444796585107	0 6 14 42 84 116 164 174 182 192 240 272 314 342 350 356	-1733777895150
SPT(16)	2583255016870331329	0 18 54 58 84 108 120 144 148 172 184 208 234 238 274 292	-1161704148928
STPT(10)	2583255581834563577	0 2 30 32 42 44 54 56 84 86	-596739916680
TPT(14)	2583255757671386879	0 2 12 14 42 44 228 230 252 254 420 422 432 434	-420903093378
SPT(16)	2583255818394829427	0 2 36 80 92 126 146 150 152 156 176 210 222 266 300 302	-360179650830
SPT(16)	2583256196844607303	0 4 6 18 70 78 94 96 118 120 136 144 196 208 210 214	18270127046
STPT(10)	2583256841536934081	0 2 30 32 78 80 126 128 156 158	662962453824
SPT(16)	2583256910302805897	0 2 12 26 72 80 90 110 186 206 216 224 270 284 294 296	731728325640
SPT(16)	2583257093430010411	0 10 16 22 40 46 78 88 120 130 162 168 186 192 198 208	914855530154
STPT(10)	2583257111344119167	0 2 12 14 42 44 72 74 84 86	932769638910