Prime p₀= 2579433567890258237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: JayPi
db: batch=82, k=10, 2 40 2 88 2

SPT(16)	2579432380342261967	0 74 92 122 152 162 204 230 264 290 332 342 372 402 420 494	-1187547996270
SPT(16)	2579432979214791179	0 8 32 42 72 74 104 132 140 168 198 200 230 240 264 272	-588675467058
SPT(16)	2579433278835317299	0 24 28 42 48 58 94 108 334 348 384 394 400 414 418 442	-289054940938
STPT(10)	2579433285351035171	0 2 36 38 78 80 120 122 156 158	-282539223066
STPT(10)	2579433329492181059	0 2 18 20 60 62 102 104 120 122	-238398077178
SPT(16)	2579433532206110353	0 28 34 48 60 64 78 88 120 130 144 148 160 174 180 208	-35684147884
STPT(10)	2579433682838519489	0 2 12 14 90 92 168 170 180 182	114948261252
STPT(10)	2579434070526115727	0 2 12 14 42 44 72 74 84 86	502635857490
STPT(10)	2579434268138792807	0 2 30 32 42 44 54 56 84 86	700248534570
STPT(10)	2579434332463019417	0 2 12 14 42 44 72 74 84 86	764572761180
SPT(16)	2579434333265716889	0 2 20 30 32 42 62 68 174 180 200 210 212 222 240 242	765375458652