Prime p₀= 7410012509951593 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 36 12 16 6 6 18 56 18 6 6 16 12 36 (?)
a_n: 0 36 48 64 70 76 94 150 168 174 180 196 208 244
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: 244
Found by: crashtech
db: batch=62, k=14, 36 12 16 6 6 18 56

SPT(14)	7409973043137283	0 28 36 54 78 90 120 124 154 166 190 208 216 244	-39466814310
SPT(14)	7409976268828663	0 4 6 10 18 36 76 78 118 136 144 148 150 154	-36241122930
SPT(14)	7409980207150811	0 8 36 56 78 80 86 90 96 98 120 140 168 176	-32302800782
TPT(12)	7409986446384419	0 2 30 32 42 44 72 74 78 80 120 122	-26063567174
TPT(12)	7409991773696087	0 2 30 32 42 44 120 122 174 176 210 212	-20736255506
SPT(14)	7409995169601319	0 40 42 72 88 102 130 192 220 234 250 280 282 322	-17340350274
SPT(14)	7410014580605929	0 10 42 78 118 162 168 172 178 222 262 298 330 340	2070654336
STPT(10)	7410022388345921	0 2 36 38 78 80 120 122 156 158	9878394328
SPT(14)	7410027213225449	0 54 60 120 150 158 168 194 204 212 242 302 308 362	14703273856
SPT(14)	7410028399085029	0 60 82 148 172 174 204 208 238 240 264 330 352 412	15889133436
SPT(14)	7410033945456491	0 12 20 86 128 138 170 198 230 240 282 348 356 368	21435504898