Prime p₀= 378609629656852651 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 18 24 18 8 22 20 22 8 18 24 18 10 (?)
a_n: 0 10 28 52 70 78 100 120 142 150 168 192 210 220
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: 220
Found by: Cruncher Pete
db: batch=70, k=14, 10 18 24 18 8 22 20

SPT(14)	378609530189026379	0 14 20 90 168 180 228 260 308 320 398 468 474 488	-99467826272
SPT(14)	378609544041319399	0 18 34 40 48 70 84 118 132 154 162 168 184 202	-85615533252
SPT(14)	378609553100963033	0 36 54 68 78 98 110 114 126 146 156 170 188 224	-76555889618
TPT(12)	378609579399092861	0 2 96 98 120 122 156 158 180 182 210 212	-50257759790
TPT(14)	378609582203217017	0 2 30 32 72 74 102 104 132 134 144 146 174 176	-47453635634
SPT(16)	378609585967797581	0 8 20 48 68 78 90 152 216 278 290 300 320 348 360 368	-43689055070
SPT(14)	378609633074390227	0 52 60 100 112 132 142 144 154 174 186 226 234 286	3417537576
TPT(12)	378609633581491649	0 2 150 152 348 350 360 362 372 374 390 392	3924638998
STPT(10)	378609640656571097	0 2 54 56 72 74 90 92 144 146	10999718446
SPT(14)	378609653693154419	0 18 30 84 138 144 170 228 254 260 314 368 380 398	24036301768
SPT(14)	378609654120106919	0 12 20 30 32 54 72 182 200 222 224 234 242 254	24463254268