Prime p₀= 1231758352827552617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: arkiss
db: batch=77, k=10, 2 10 2 28 2

TPT(14)	1231757408336431511	0 2 6 8 36 38 120 122 138 140 210 212 318 320	-944491121106
SPT(16)	1231757452833977383	0 46 54 94 100 130 166 178 216 228 264 294 300 340 348 394	-899993575234
SPT(16)	1231757948211002453	0 26 30 54 86 90 96 104 156 164 170 174 206 230 234 260	-404616550164
SPT(16)	1231758104263945493	0 20 56 86 110 144 176 204 236 264 296 330 354 384 420 440	-248563607124
SPT(16)	1231758130327653959	0 2 62 92 108 114 144 158 174 188 218 224 240 270 330 332	-222499898658
SPT(16)	1231758232333976177	0 84 96 120 152 162 216 266 270 320 374 384 416 440 452 536	-120493576440
TPT(14)	1231758492105413861	0 2 30 32 66 68 78 80 96 98 120 122 276 278	139277861244
STPT(10)	1231759152797201099	0 2 78 80 120 122 162 164 240 242	799969648482
SPT(16)	1231759457949808951	0 52 78 118 142 168 172 190 408 426 430 456 480 520 546 598	1105122256334
STPT(10)	1231759784731251857	0 2 54 56 132 134 210 212 264 266	1431903699240
SPT(16)	1231759944867625469	0 18 38 90 92 98 104 132 200 228 234 240 242 294 314 332	1592040072852