Prime p₀= 3031461272461826207 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 118 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 252 254 264 266
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: 266
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 118 2

SPT(16)	3031460446691578483	0 18 40 84 88 96 106 126 148 168 178 186 190 234 256 274	-825770247724
SPT(16)	3031460527143924299	0 50 62 74 98 120 138 158 204 224 242 264 288 300 312 362	-745317901908
SPT(16)	3031460919255780343	0 24 28 66 70 106 118 124 150 156 168 204 208 246 250 274	-353206045864
TPT(14)	3031461117429140507	0 2 42 44 72 74 150 152 210 212 270 272 282 284	-155032685700
SPT(16)	3031461136193801917	0 12 34 40 84 102 112 126 130 144 154 172 216 222 244 256	-136268024290
SPT(16)	3031461253681387909	0 22 72 100 114 160 172 202 210 240 252 298 312 340 390 412	-18780438298
SPT(16)	3031461753896833979	0 2 8 12 14 134 140 144 218 222 228 348 350 354 360 362	481435007772
SPT(16)	3031461968064424067	0 20 26 62 90 92 132 164 192 224 264 266 294 330 336 356	695602597860
STPT(10)	3031462463664691499	0 2 18 20 60 62 102 104 120 122	1191202865292
STPT(10)	3031462986965922137	0 2 30 32 72 74 114 116 144 146	1714504095930
STPT(10)	3031463095584306191	0 2 6 8 48 50 90 92 96 98	1823122479984