Prime p₀= 5817349706852737 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 30 4 44 60 36 10 36 60 44 4 30 6 (?)
a_n: 0 6 36 40 84 144 180 190 226 286 330 334 364 370
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: 370
Found by: Egon olsen
db: batch=62, k=14, 6 30 4 44 60 36 10

SPT(14)	5817318701942507	0 2 6 30 42 44 56 90 102 104 116 140 144 146	-31004910230
SPT(16)	5817321673772101	0 28 30 36 52 76 126 132 136 142 192 216 232 238 240 268	-28033080636
SPT(14)	5817328619180257	0 12 46 54 90 130 132 154 156 196 232 240 274 286	-21087672480
SPT(14)	5817331687073659	0 64 100 130 174 180 202 210 232 238 282 312 348 412	-18019779078
SPT(14)	5817341446184753	0 30 38 66 80 114 156 158 200 234 248 276 284 314	-8260667984
SPT(14)	5817345470834071	0 6 40 58 126 130 132 166 168 172 240 258 292 298	-4236018666
TPT(12)	5817351306696779	0 2 42 44 108 110 132 134 150 152 168 170	1599844042
SPT(14)	5817355078515341	0 36 126 140 152 162 228 260 326 336 348 362 452 488	5371662604
TPT(12)	5817359503932089	0 2 120 122 180 182 192 194 222 224 240 242	9797079352
SPT(14)	5817363852214093	0 4 40 46 64 160 186 358 384 480 498 504 540 544	14145361356
SPT(14)	5817395145045761	0 6 56 102 140 146 158 210 222 228 266 312 362 368	45438193024