Prime p₀= 86120324638291331 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 6 2 12 6 30 22 30 6 12 2 6 42 (?)
a_n: 0 42 48 50 62 68 98 120 150 156 168 170 176 218
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: 218
Found by: Paul
db: batch=67, k=14, 42 6 2 12 6 30 22

SPT(16)	86120255193702461	0 8 26 30 42 78 90 92 96 98 110 146 158 162 180 188	-69444588870
SPT(14)	86120262550358957	0 30 50 90 114 140 152 204 216 242 266 306 326 356	-62087932374
SPT(14)	86120278301266459	0 18 40 78 84 90 160 222 292 298 304 342 364 382	-46337024872
SPT(14)	86120279222088841	0 6 16 48 58 72 90 178 196 210 220 252 262 268	-45416202490
SPT(14)	86120279427545873	0 44 80 86 108 110 116 138 144 146 168 174 210 254	-45210745458
SPT(14)	86120309012495431	0 76 78 100 108 156 168 178 190 238 246 268 270 346	-15625795900
SPT(14)	86120331754011631	0 30 42 48 60 118 130 138 150 208 220 226 238 268	7115720300
SPT(14)	86120332472236837	0 24 42 60 64 76 90 106 120 132 136 154 172 196	7833945506
TPT(12)	86120359884029837	0 2 84 86 114 116 132 134 174 176 210 212	35245738506
TPT(12)	86120366810911241	0 2 6 8 30 32 198 200 210 212 240 242	42172619910
TPT(12)	86120379883520429	0 2 12 14 30 32 150 152 168 170 198 200	55245229098