Prime p₀= 391467479847277147 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 70 44 10 8 4 14 76 14 4 8 10 44 70 (?)
a_n: 0 70 114 124 132 136 150 226 240 244 252 262 306 376
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: 376
Found by: Cruncher Pete
db: batch=70, k=14, 70 44 10 8 4 14 76

SPT(14)	391467323980551067	0 16 30 34 42 100 124 132 156 214 222 226 240 256	-155866726080
SPT(14)	391467344579851739	0 14 30 38 42 72 104 108 140 170 174 182 198 212	-135267425408
TPT(12)	391467390191219729	0 2 78 80 102 104 132 134 162 164 270 272	-89656057418
TPT(12)	391467407772271421	0 2 48 50 138 140 258 260 288 290 378 380	-72075005726
SPT(14)	391467410287920397	0 4 46 60 90 126 132 184 190 226 256 270 312 316	-69559356750
SPT(14)	391467455071904947	0 16 24 40 60 82 84 112 114 136 156 172 180 196	-24775372200
TPT(12)	391467480178376297	0 2 12 14 24 26 42 44 54 56 90 92	331099150
SPT(14)	391467513608895943	0 10 18 24 48 58 94 150 186 196 220 226 234 244	33761618796
SPT(14)	391467525821929327	0 24 46 60 66 82 84 112 114 130 136 150 172 196	45974652180
SPT(14)	391467532845309211	0 40 48 76 96 102 132 166 196 202 222 250 258 298	52998032064
SPT(14)	391467593912118989	0 20 72 114 150 152 210 212 270 272 308 350 402 422	114064841842