Prime p₀= 2375263778246530019 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2375262973681959203	0 50 98 140 176 188 204 206 318 320 336 348 384 426 474 524	-804564570816
SPT(16)	2375263024593225131	0 18 56 60 120 186 242 270 308 336 392 458 518 522 560 578	-753653304888
STPT(10)	2375263145278089749	0 2 42 44 90 92 138 140 180 182	-632968440270
STPT(10)	2375263162229318729	0 2 18 20 30 32 42 44 60 62	-616017211290
STPT(10)	2375263214381943461	0 2 36 38 78 80 120 122 156 158	-563864586558
SPT(16)	2375263489176606407	0 12 30 42 56 114 120 164 252 296 302 360 374 386 404 416	-289069923612
SPT(16)	2375263801210395833	0 8 30 38 48 50 84 90 128 134 168 170 180 188 210 218	22963865814
STPT(10)	2375263938162442469	0 2 18 20 30 32 42 44 60 62	159915912450
STPT(10)	2375264262047703539	0 2 42 44 60 62 78 80 120 122	483801173520
SPT(16)	2375264422300653437	0 12 14 24 50 72 102 116 120 134 164 186 212 222 224 236	644054123418
STPT(10)	2375264834226320129	0 2 30 32 60 62 90 92 120 122	1055979790110