Prime p₀= 120629153150639149 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 20 36 48 46 36 8 36 46 48 36 20 4 (?)
a_n: 0 4 24 60 108 154 190 198 234 280 328 364 384 388
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: 388
Found by: Vit Kliber
db: batch=67, k=14, 4 20 36 48 46 36 8

SPT(14)	120629039013297541	0 30 52 108 178 238 258 262 282 342 412 468 490 520	-114137341608
SPT(14)	120629053244069707	0 10 12 42 46 54 72 94 112 120 124 154 156 166	-99906569442
SPT(14)	120629077225241699	0 24 50 78 90 98 104 204 210 218 230 258 284 308	-75925397450
SPT(14)	120629081122628251	0 18 40 52 76 90 106 192 208 222 246 258 280 298	-72028010898
SPT(14)	120629102387355599	0 24 38 72 78 98 104 108 114 134 140 174 188 212	-50763283550
SPT(14)	120629147999254001	0 20 66 78 86 90 116 132 158 162 170 182 228 248	-5151385148
TPT(12)	120629157299472797	0 2 120 122 150 152 222 224 390 392 414 416	4148833648
SPT(14)	120629165291878931	0 32 48 56 72 80 90 98 108 116 132 140 156 188	12141239782
SPT(14)	120629166599725759	0 40 72 78 84 100 114 118 132 148 154 160 192 232	13449086610
TPT(12)	120629190244428137	0 2 30 32 42 44 84 86 150 152 240 242	37093788988
SPT(14)	120629200924823483	0 6 60 68 90 156 158 168 170 236 258 266 320 326	47774184334