Prime p₀= 580847505188306899 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 36 16 36 38 4 38 4 38 36 16 36 12 (?)
a_n: 0 12 48 64 100 138 142 180 184 222 258 274 310 322
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: 322
Found by: vladimir
db: batch=71, k=14, 12 36 16 36 38 4 38

SPT(16)	580847439485849101	0 16 30 70 96 102 130 142 156 168 196 202 228 268 282 298	-65702457798
TPT(12)	580847457203010791	0 2 48 50 78 80 96 98 138 140 336 338	-47985296108
SPT(14)	580847473703979073	0 40 88 114 124 130 144 154 168 174 184 210 258 298	-31484327826
SPT(14)	580847475313880969	0 20 38 62 78 120 132 140 152 194 210 234 252 272	-29874425930
TPT(12)	580847480666697371	0 2 78 80 156 158 180 182 288 290 306 308	-24521609528
SPT(14)	580847501995930903	0 6 24 30 40 138 154 180 196 294 304 310 328 334	-3192375996
SPT(14)	580847512680035431	0 10 36 52 76 138 162 166 190 252 276 292 318 328	7491728532
SPT(14)	580847522731132379	0 20 42 62 78 170 188 192 210 302 318 338 360 380	17542825480
SPT(18)	580847524671633097	0 4 40 54 64 84 90 102 114 130 142 154 160 180 190 204 240 244	19483326198
SPT(14)	580847529339843691	0 6 22 60 66 72 76 102 106 112 118 156 172 178	24151536792
SPT(14)	580847537168074159	0 22 34 70 124 132 154 168 190 198 252 288 300 322	31979767260