Prime p₀= 1295658967784199839 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1295656817713511161	0 60 72 76 82 160 208 238 240 270 318 396 402 406 418 478	-2150070688678
STPT(10)	1295657206230848567	0 2 12 14 42 44 72 74 84 86	-1761553351272
STPT(10)	1295657254288324139	0 2 42 44 60 62 78 80 120 122	-1713495875700
STPT(12)	1295657483559037721	0 2 36 38 48 50 78 80 90 92 126 128	-1484225162118
SPT(16)	1295658201710591179	0 42 52 70 90 94 112 114 220 222 240 244 264 282 292 334	-766073608660
SPT(16)	1295658477668545621	0 10 16 46 100 168 178 198 268 288 298 366 420 450 456 466	-490115654218
STPT(10)	1295659211070068111	0 2 36 38 78 80 120 122 156 158	243285868272
STPT(10)	1295659514631273401	0 2 30 32 78 80 126 128 156 158	546847073562
SPT(16)	1295659789830161207	0 14 30 36 56 84 162 174 182 194 272 300 320 326 342 356	822045961368
STPT(10)	1295659971733828577	0 2 30 32 60 62 90 92 120 122	1003949628738
STPT(10)	1295660008863696491	0 2 36 38 78 80 120 122 156 158	1041079496652