Prime p₀= 2581458472620554627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(18)	2581457517924778901	0 2 36 48 92 116 158 198 200 258 260 300 342 366 410 422 456 458	-954695775726
STPT(10)	2581457656994160947	0 2 30 32 60 62 90 92 120 122	-815626393680
SPT(16)	2581457857591471049	0 8 44 50 74 98 120 144 158 182 204 228 252 258 294 302	-615029083578
STPT(10)	2581458265857854807	0 2 30 32 72 74 114 116 144 146	-206762699820
SPT(16)	2581458329992440131	0 8 30 32 60 62 78 120 140 182 198 200 228 230 252 260	-142628114496
SPT(16)	2581458405452882723	0 14 18 66 80 180 206 276 278 348 374 474 488 536 540 554	-67167671904
STPT(10)	2581458493158249347	0 2 24 26 42 44 60 62 84 86	20537694720
SPT(16)	2581458518250333179	0 72 80 128 150 152 230 254 258 282 360 362 384 432 440 512	45629778552
STPT(10)	2581458649647152447	0 2 12 14 42 44 72 74 84 86	177026597820
SPT(16)	2581458823114570471	0 10 42 88 108 130 142 178 252 288 300 322 342 388 420 430	350494015844
SPT(16)	2581458902420475593	0 20 80 98 116 146 168 180 236 248 270 300 318 336 396 416	429799920966