Prime p₀= 293821454314722223 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 16 68 18 4 8 58 8 4 18 68 16 24 (?)
a_n: 0 24 40 108 126 130 138 196 204 208 226 294 310 334
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: 334
Found by: Ralfy
db: batch=69, k=14, 24 16 68 18 4 8 58

SPT(14)	293821391907051791	0 18 32 38 60 102 122 126 146 188 210 216 230 248	-62407670432
SPT(14)	293821418647739561	0 8 108 116 126 132 140 228 236 242 252 260 360 368	-35666982662
SPT(14)	293821424659303531	0 48 100 132 180 190 232 258 300 310 358 390 442 490	-29655418692
SPT(14)	293821424807309941	0 10 36 70 90 168 178 180 190 268 288 322 348 358	-29507412282
SPT(14)	293821435249407787	0 22 40 52 66 82 120 256 294 310 324 336 354 376	-19065314436
SPT(14)	293821452545104381	0 18 22 88 100 102 148 192 238 240 252 318 322 340	-1769617842
SPT(14)	293821473918926309	0 2 12 44 54 80 98 114 132 158 168 200 210 212	19604204086
SPT(14)	293821506404733221	0 18 38 66 98 116 150 176 210 228 260 288 308 326	52090010998
SPT(14)	293821508243056141	0 12 60 78 90 96 102 106 112 118 130 148 196 208	53928333918
SPT(14)	293821513205424767	0 2 30 50 62 66 72 140 146 150 162 182 210 212	58890702544
SPT(16)	293821531350541099	0 10 12 64 70 72 78 94 168 184 190 192 198 250 252 262	77035818876