Prime p₀= 7410037618030727 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 8 4 38 10 8 124 8 10 38 4 8 42 (?)
a_n: 0 42 50 54 92 102 110 234 242 252 290 294 302 344
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: 344
Found by: crashtech
db: batch=62, k=14, 42 8 4 38 10 8 124

SPT(14)	7410012509951593	0 36 48 64 70 76 94 150 168 174 180 196 208 244	-25108079134
SPT(14)	7410014580605929	0 10 42 78 118 162 168 172 178 222 262 298 330 340	-23037424798
STPT(10)	7410022388345921	0 2 36 38 78 80 120 122 156 158	-15229684806
SPT(14)	7410027213225449	0 54 60 120 150 158 168 194 204 212 242 302 308 362	-10404805278
SPT(14)	7410028399085029	0 60 82 148 172 174 204 208 238 240 264 330 352 412	-9218945698
SPT(14)	7410033945456491	0 12 20 86 128 138 170 198 230 240 282 348 356 368	-3672574236
SPT(14)	7410038073654701	0 2 42 50 66 156 182 240 266 356 372 380 420 422	455623974
TPT(12)	7410047282453831	0 2 36 38 66 68 78 80 96 98 156 158	9664423104
SPT(14)	7410058688514049	0 12 18 54 60 88 94 138 144 172 178 214 220 232	21070483322
SPT(14)	7410061948955473	0 30 54 64 84 90 118 156 184 190 210 220 244 274	24330924746
SPT(14)	7410071523648539	0 14 30 72 104 168 174 308 314 378 410 452 468 482	33905617812