Prime p₀= 120629166599725759 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 40 32 6 6 16 14 4 14 16 6 6 32 40 (?)
a_n: 0 40 72 78 84 100 114 118 132 148 154 160 192 232
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: 232
Found by: Vit Kliber
db: batch=67, k=14, 40 32 6 6 16 14 4

SPT(14)	120629081122628251	0 18 40 52 76 90 106 192 208 222 246 258 280 298	-85477097508
SPT(14)	120629102387355599	0 24 38 72 78 98 104 108 114 134 140 174 188 212	-64212370160
SPT(14)	120629147999254001	0 20 66 78 86 90 116 132 158 162 170 182 228 248	-18600471758
SPT(14)	120629153150639149	0 4 24 60 108 154 190 198 234 280 328 364 384 388	-13449086610
TPT(12)	120629157299472797	0 2 120 122 150 152 222 224 390 392 414 416	-9300252962
SPT(14)	120629165291878931	0 32 48 56 72 80 90 98 108 116 132 140 156 188	-1307846828
TPT(12)	120629190244428137	0 2 30 32 42 44 84 86 150 152 240 242	23644702378
SPT(14)	120629200924823483	0 6 60 68 90 156 158 168 170 236 258 266 320 326	34325097724
SPT(14)	120629234129151203	0 36 54 66 68 78 80 84 86 96 98 110 128 164	67529425444
STPT(10)	120629235859023509	0 2 48 50 60 62 72 74 120 122	69259297750
TPT(12)	120629273743117439	0 2 42 44 60 62 102 104 180 182 240 242	107143391680