Prime p₀= 18961461406377629 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 32 24 22 8 12 22 12 8 22 24 32 12 (?)
a_n: 0 12 44 68 90 98 110 132 144 152 174 198 230 242
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 242
Found by: gaballus
db: batch=62, k=14, 12 32 24 22 8 12 22

SPT(14)	18961396077265679	0 8 42 78 90 98 114 218 234 242 254 290 324 332	-65329111950
TPT(12)	18961423720506977	0 2 24 26 54 56 90 92 150 152 180 182	-37685870652
TPT(14)	18961426744771697	0 2 30 32 60 62 102 104 114 116 132 134 240 242	-34661605932
TPT(12)	18961435796893307	0 2 12 14 42 44 54 56 102 104 180 182	-25609484322
SPT(14)	18961453870328609	0 2 38 72 78 90 92 168 170 182 188 222 258 260	-7536049020
SPT(14)	18961460324100181	0 46 52 70 88 96 118 150 172 180 198 216 222 268	-1082277448
SPT(14)	18961462415780809	0 40 84 112 124 130 150 172 192 198 210 238 282 322	1009403180
SPT(14)	18961477042064551	0 10 12 40 78 82 88 102 108 112 150 178 180 190	15635686922
TPT(12)	18961484401469669	0 2 12 14 48 50 120 122 132 134 168 170	22995092040
SPT(14)	18961486951991741	0 26 42 72 86 126 152 210 236 276 290 320 336 362	25545614112
SPT(14)	18961487801089697	0 42 54 56 86 120 132 134 146 180 210 212 224 266	26394712068