Prime p₀= 12178004310041237 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 36 26 4 30 6 38 6 30 4 26 36 30 (?)
a_n: 0 30 66 92 96 126 132 170 176 206 210 236 272 302
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: 302
Found by: crashtech
db: batch=62, k=14, 30 36 26 4 30 6 38

SPT(14)	12177897183050479	0 90 114 130 132 168 174 178 184 220 222 238 262 352	-107126990758
TPT(12)	12177940302049391	0 2 18 20 36 38 48 50 78 80 216 218	-64007991846
SPT(14)	12177950452940131	0 12 52 60 72 82 88 192 198 208 220 228 268 280	-53857101106
SPT(14)	12177954524940823	0 6 64 78 90 108 120 124 136 154 166 180 238 244	-49785100414
SPT(14)	12177956559857911	0 36 120 168 180 238 258 280 300 358 370 418 502 538	-47750183326
SPT(14)	12177998820702217	0 6 16 100 126 156 196 306 346 376 402 486 496 502	-5489339020
SPT(14)	12178011540987961	0 16 30 78 82 88 126 142 180 186 190 238 252 268	7230946724
TPT(12)	12178011659330651	0 2 78 80 138 140 156 158 180 182 198 200	7349289414
SPT(14)	12178020395082677	0 32 50 72 84 92 170 204 282 290 302 324 342 374	16085041440
SPT(14)	12178021468978217	0 12 26 30 56 80 140 156 216 240 266 270 284 296	17158936980
TPT(12)	12178026210191117	0 2 12 14 42 44 84 86 90 92 150 152	21900149880