Prime p₀= 1427258228576810207 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: MarkRBright
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1427256630920642647	0 6 10 72 112 156 192 202 210 220 256 300 340 402 406 412	-1597656167560
SPT(16)	1427257141086946493	0 36 134 158 210 216 246 258 296 308 338 344 396 420 518 554	-1087489863714
SPT(16)	1427257474567568351	0 2 8 38 78 102 192 218 312 338 428 452 492 522 528 530	-754009241856
TPT(14)	1427257816612034051	0 2 30 32 66 68 78 80 108 110 138 140 150 152	-411964776156
STPT(10)	1427257816612034117	0 2 12 14 42 44 72 74 84 86	-411964776090
SPT(16)	1427258194744818767	0 2 62 92 104 114 192 240 266 314 392 402 414 444 504 506	-33831991440
SPT(16)	1427258319699663749	0 8 42 68 72 102 162 200 240 278 338 368 372 398 432 440	91122853542
SPT(16)	1427258368381869833	0 18 50 78 84 110 120 134 150 164 174 200 206 234 266 284	139805059626
SPT(16)	1427258394965035933	0 4 6 46 48 88 108 114 130 136 156 196 198 238 240 244	166388225726
STPT(10)	1427258634539143499	0 2 42 44 60 62 78 80 120 122	405962333292
SPT(16)	1427258702825257987	0 6 10 24 40 94 114 124 252 262 282 336 352 366 370 376	474248447780