Prime p₀= 120629081122628251 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 22 12 24 14 16 86 16 14 24 12 22 18 (?)
a_n: 0 18 40 52 76 90 106 192 208 222 246 258 280 298
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: 298
Found by: Vit Kliber
db: batch=67, k=14, 18 22 12 24 14 16 86

TPT(12)	120629012170748441	0 2 66 68 138 140 150 152 180 182 216 218	-68951879810
TPT(12)	120629022470317547	0 2 30 32 60 62 102 104 114 116 132 134	-58652310704
SPT(16)	120629026813121521	0 16 18 22 58 60 76 88 90 102 118 120 156 160 162 178	-54309506730
SPT(14)	120629039013297541	0 30 52 108 178 238 258 262 282 342 412 468 490 520	-42109330710
SPT(14)	120629053244069707	0 10 12 42 46 54 72 94 112 120 124 154 156 166	-27878558544
SPT(14)	120629077225241699	0 24 50 78 90 98 104 204 210 218 230 258 284 308	-3897386552
SPT(14)	120629102387355599	0 24 38 72 78 98 104 108 114 134 140 174 188 212	21264727348
SPT(14)	120629147999254001	0 20 66 78 86 90 116 132 158 162 170 182 228 248	66876625750
SPT(14)	120629153150639149	0 4 24 60 108 154 190 198 234 280 328 364 384 388	72028010898
TPT(12)	120629157299472797	0 2 120 122 150 152 222 224 390 392 414 416	76176844546
SPT(14)	120629165291878931	0 32 48 56 72 80 90 98 108 116 132 140 156 188	84169250680