Prime p₀= 2167122417198144947 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 18 42 60 24 60 60 24 60 42 18 6 (?)
a_n: 0 6 24 66 126 150 210 270 294 354 396 414 420
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 420
Found by: Landjunge
db: batch=81, k=13, 6 18 42 60 24 60

SPT(16)	2167120804041022637	0 36 44 54 62 90 122 164 222 264 296 324 332 342 350 386	-1613157122310
SPT(16)	2167120989940806589	0 28 130 138 154 160 172 180 232 240 252 258 274 282 384 412	-1427257338358
STPT(10)	2167121179591773257	0 2 30 32 72 74 114 116 144 146	-1237606371690
SPT(16)	2167121400885155833	0 4 6 28 30 48 100 114 130 144 196 214 216 238 240 244	-1016312989114
SPT(16)	2167121855823065521	0 6 30 52 72 90 112 132 136 156 178 196 216 238 262 268	-561375079426
STPT(10)	2167122375962272187	0 2 30 32 42 44 54 56 84 86	-41235872760
STPT(10)	2167122427745301119	0 2 18 20 30 32 42 44 60 62	10547156172
SPT(16)	2167122508034155981	0 30 70 88 102 138 156 180 238 262 280 316 330 348 388 418	90836011034
STPT(10)	2167122931690438649	0 2 48 50 90 92 132 134 180 182	514492293702
SPT(13)	2167123311839729963	0 24 30 54 66 84 90 96 114 126 150 156 180	894641585016
TPT(14)	2167123483775375897	0 2 30 32 72 74 90 92 102 104 114 116 120 122	1066577230950