Prime p₀= 350052277710555551 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 8 12 6 22 48 24 38 24 48 22 6 12 8 (?)
a_n: 0 8 20 26 48 96 120 158 182 230 252 258 270 278
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: 278
Found by: scrap
db: batch=70, k=14, 8 12 6 22 48 24 38

SPT(14)	350052128704147367	0 24 32 42 60 80 110 114 144 164 182 192 200 224	-149006408184
SPT(14)	350052142946520227	0 14 42 50 80 104 122 234 252 276 306 314 342 356	-134764035324
SPT(14)	350052165923275271	0 42 102 120 126 152 158 180 186 212 218 236 296 338	-111787280280
TPT(12)	350052208014891671	0 2 78 80 120 122 126 128 210 212 240 242	-69695663880
TPT(12)	350052225601104329	0 2 30 32 42 44 90 92 132 134 198 200	-52109451222
SPT(14)	350052233631198697	0 4 40 46 54 102 112 144 154 202 210 216 252 256	-44079356854
SPT(14)	350052292953698399	0 30 32 38 54 72 74 78 80 98 114 120 122 152	15243142848
SPT(14)	350052324647438939	0 8 18 32 42 50 78 92 120 128 138 152 162 170	46936883388
SPT(14)	350052331608748939	0 10 18 22 70 78 100 162 184 192 240 244 252 262	53898193388
SPT(14)	350052337465705961	0 6 30 38 56 62 72 116 126 132 150 158 182 188	59755150410
SPT(14)	350052344609788973	0 6 18 60 74 80 104 120 144 150 164 206 218 224	66899233422