Prime p₀= 76163364781860637 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 6 20 54 22 8 22 8 22 54 20 6 4 (?)
a_n: 0 4 10 30 84 106 114 136 144 166 220 240 246 250
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: 250
Found by: Fardringle
db: batch=67, k=14, 4 6 20 54 22 8 22

SPT(16)	76163299439667361	0 10 22 48 52 70 76 102 136 162 168 186 190 216 228 238	-65342193276
SPT(14)	76163312360029621	0 16 28 58 60 96 100 126 130 166 168 198 210 226	-52421831016
SPT(14)	76163318180954447	0 44 72 86 92 114 146 150 182 204 210 224 252 296	-46600906190
SPT(14)	76163324957307373	0 10 30 70 88 114 144 184 214 240 258 298 318 328	-39824553264
SPT(14)	76163354375136271	0 70 88 96 102 130 168 190 228 256 262 270 288 358	-10406724366
SPT(14)	76163361815693839	0 12 30 58 70 82 108 142 168 180 192 220 238 250	-2966166798
SPT(14)	76163374931894851	0 12 28 40 52 82 90 160 168 198 210 222 238 250	10150034214
SPT(14)	76163377868429539	0 42 48 58 70 72 78 154 160 162 174 184 190 232	13086568902
SPT(14)	76163380504814791	0 28 48 70 90 118 138 172 192 220 240 262 282 310	15722954154
SPT(14)	76163393801155993	0 40 66 78 106 150 208 276 334 378 406 418 444 484	29019295356
SPT(14)	76163401296549577	0 6 112 114 196 204 246 280 322 330 412 414 520 526	36514688940