Prime p₀= 1127396731556187941 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: crashtech
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1127395692411702871	0 40 106 136 148 160 238 258 310 330 408 420 432 462 528 568	-1039144485070
STPT(10)	1127396002998954977	0 2 30 32 162 164 294 296 324 326	-728557232964
STPT(10)	1127396225658609029	0 2 12 14 30 32 48 50 60 62	-505897578912
STPT(10)	1127396372612659307	0 2 54 56 72 74 90 92 144 146	-358943528634
STPT(10)	1127396374935003527	0 2 12 14 72 74 132 134 144 146	-356621184414
STPT(10)	1127396664888593579	0 2 18 20 30 32 42 44 60 62	-66667594362
SPT(16)	1127396814519686027	0 36 56 66 140 146 150 174 206 230 234 240 314 324 344 380	82963498086
STPT(10)	1127397106647701969	0 2 48 50 60 62 72 74 120 122	375091514028
SPT(16)	1127397203896262879	0 2 54 108 132 140 152 170 192 210 222 230 254 308 360 362	472340074938
SPT(16)	1127397426733044263	0 18 54 56 60 66 84 110 144 170 188 194 198 200 236 254	695176856322
SPT(16)	1127397565064828401	0 12 40 112 148 156 166 192 196 222 232 240 276 348 376 388	833508640460