Prime p₀= 2040613109483653667 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: Dingo
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2040611464886685751	0 90 102 132 162 166 180 196 216 232 246 250 280 310 322 412	-1644596967916
STPT(10)	2040611519275631129	0 2 42 44 60 62 78 80 120 122	-1590208022538
SPT(16)	2040611604886458559	0 28 70 102 114 148 184 204 238 258 294 328 340 372 414 442	-1504597195108
STPT(10)	2040612205928527961	0 2 36 38 78 80 120 122 156 158	-903555125706
STPT(10)	2040612411872126759	0 2 18 20 30 32 42 44 60 62	-697611526908
SPT(16)	2040612562354534591	0 12 42 78 90 112 120 150 178 208 216 238 250 286 316 328	-547129119076
SPT(16)	2040613213481456909	0 42 44 102 114 120 122 140 144 162 164 170 182 240 242 284	103997803242
SPT(16)	2040613547911752343	0 10 34 54 78 124 136 160 294 318 330 376 400 420 444 454	438428098676
SPT(16)	2040613937490521131	0 12 16 22 30 70 100 102 166 168 198 238 246 252 256 268	828006867464
SPT(18)	2040614053518793201	0 12 18 22 42 96 130 150 172 186 208 228 262 316 336 340 346 358	944035139534
SPT(16)	2040614125547547637	0 6 40 66 106 120 132 190 252 310 322 336 376 402 436 442	1016063893970