Prime p₀= 120629147999254001 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 46 12 8 4 26 16 26 4 8 12 46 20 (?)
a_n: 0 20 66 78 86 90 116 132 158 162 170 182 228 248
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: 248
Found by: Vit Kliber
db: batch=67, k=14, 20 46 12 8 4 26 16

SPT(16)	120629026813121521	0 16 18 22 58 60 76 88 90 102 118 120 156 160 162 178	-121186132480
SPT(14)	120629039013297541	0 30 52 108 178 238 258 262 282 342 412 468 490 520	-108985956460
SPT(14)	120629053244069707	0 10 12 42 46 54 72 94 112 120 124 154 156 166	-94755184294
SPT(14)	120629077225241699	0 24 50 78 90 98 104 204 210 218 230 258 284 308	-70774012302
SPT(14)	120629081122628251	0 18 40 52 76 90 106 192 208 222 246 258 280 298	-66876625750
SPT(14)	120629102387355599	0 24 38 72 78 98 104 108 114 134 140 174 188 212	-45611898402
SPT(14)	120629153150639149	0 4 24 60 108 154 190 198 234 280 328 364 384 388	5151385148
TPT(12)	120629157299472797	0 2 120 122 150 152 222 224 390 392 414 416	9300218796
SPT(14)	120629165291878931	0 32 48 56 72 80 90 98 108 116 132 140 156 188	17292624930
SPT(14)	120629166599725759	0 40 72 78 84 100 114 118 132 148 154 160 192 232	18600471758
TPT(12)	120629190244428137	0 2 30 32 42 44 84 86 150 152 240 242	42245174136