Prime p₀= 84559700723003917 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 36 6 24 10 48 2 4 2 48 10 24 6 36 (?)
a_n: 0 36 42 66 76 124 126 130 132 180 190 214 220 256
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: 256
Found by: emoga
db: batch=67, k=14, 36 6 24 10 48 2 4

SPT(16)	84559657707534389	0 14 18 84 120 134 144 150 182 188 198 212 248 314 318 332	-43015469528
TPT(12)	84559663516343777	0 2 12 14 24 26 54 56 60 62 102 104	-37206660140
TPT(12)	84559672201460537	0 2 30 32 42 44 90 92 102 104 144 146	-28521543380
TPT(12)	84559674950144969	0 2 150 152 168 170 180 182 210 212 240 242	-25772858948
SPT(14)	84559686743299303	0 28 106 120 186 216 226 258 268 298 364 378 456 484	-13979704614
TPT(12)	84559699301978237	0 2 42 44 150 152 162 164 192 194 234 236	-1421025680
SPT(14)	84559712066181133	0 18 40 46 60 66 90 166 190 196 210 216 238 256	11343177216
SPT(14)	84559719210782351	0 26 32 42 50 72 92 180 200 222 230 240 246 272	18487778434
SPT(14)	84559731183948247	0 90 94 100 112 132 156 160 184 204 216 222 226 316	30460944330
SPT(14)	84559736601591059	0 30 84 128 198 204 240 272 308 314 384 428 482 512	35878587142
SPT(14)	84559749543695189	0 2 24 78 98 102 114 128 140 144 164 218 240 242	48820691272