Prime p₀= 2167122427745301119 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2167120989940806589	0 28 130 138 154 160 172 180 232 240 252 258 274 282 384 412	-1437804494530
STPT(10)	2167121179591773257	0 2 30 32 72 74 114 116 144 146	-1248153527862
SPT(16)	2167121400885155833	0 4 6 28 30 48 100 114 130 144 196 214 216 238 240 244	-1026860145286
SPT(16)	2167121855823065521	0 6 30 52 72 90 112 132 136 156 178 196 216 238 262 268	-571922235598
STPT(10)	2167122375962272187	0 2 30 32 42 44 54 56 84 86	-51783028932
SPT(13)	2167122417198144947	0 6 24 66 126 150 210 270 294 354 396 414 420	-10547156172
SPT(16)	2167122508034155981	0 30 70 88 102 138 156 180 238 262 280 316 330 348 388 418	80288854862
STPT(10)	2167122931690438649	0 2 48 50 90 92 132 134 180 182	503945137530
SPT(13)	2167123311839729963	0 24 30 54 66 84 90 96 114 126 150 156 180	884094428844
TPT(14)	2167123483775375897	0 2 30 32 72 74 90 92 102 104 114 116 120 122	1056030074778
SPT(16)	2167123597139378587	0 6 36 54 100 132 162 202 204 244 274 306 352 370 400 406	1169394077468