Prime p₀= 86120279427545873 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 44 36 6 22 2 6 22 6 2 22 6 36 44 (?)
a_n: 0 44 80 86 108 110 116 138 144 146 168 174 210 254
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: 254
Found by: Paul
db: batch=67, k=14, 44 36 6 22 2 6 22

SPT(14)	86120235036629239	0 18 88 90 112 132 154 228 250 270 292 294 364 382	-44390916634
SPT(14)	86120247893451179	0 24 30 38 50 78 80 132 134 162 174 182 188 212	-31534094694
SPT(16)	86120255193702461	0 8 26 30 42 78 90 92 96 98 110 146 158 162 180 188	-24233843412
SPT(14)	86120262550358957	0 30 50 90 114 140 152 204 216 242 266 306 326 356	-16877186916
SPT(14)	86120278301266459	0 18 40 78 84 90 160 222 292 298 304 342 364 382	-1126279414
SPT(14)	86120279222088841	0 6 16 48 58 72 90 178 196 210 220 252 262 268	-205457032
SPT(14)	86120309012495431	0 76 78 100 108 156 168 178 190 238 246 268 270 346	29584949558
SPT(14)	86120324638291331	0 42 48 50 62 68 98 120 150 156 168 170 176 218	45210745458
SPT(14)	86120331754011631	0 30 42 48 60 118 130 138 150 208 220 226 238 268	52326465758
SPT(14)	86120332472236837	0 24 42 60 64 76 90 106 120 132 136 154 172 196	53044690964
TPT(12)	86120359884029837	0 2 84 86 114 116 132 134 174 176 210 212	80456483964