Prime p₀= 1467439776028665947 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 20 54 22 8 10 12 74 12 10 8 22 54 20 30 (?)
a_n: 0 30 50 104 126 134 144 156 230 242 252 260 282 336 356 386
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 386
Found by: Theadalus
db: batch=78, k=16, 30 20 54 22 8 10 12 74

SPT(16)	1467437341168830379	0 28 40 84 88 190 210 232 360 382 402 504 508 552 564 592	-2434859835568
SPT(16)	1467437482628488883	0 56 68 108 134 150 158 180 224 246 254 270 296 336 348 404	-2293400177064
SPT(16)	1467438401732497703	0 6 66 90 110 126 138 150 164 176 188 204 224 248 308 314	-1374296168244
SPT(16)	1467439024531287917	0 2 14 32 96 114 156 236 300 380 422 440 504 522 534 536	-751497378030
SPT(16)	1467439645376090707	0 6 52 112 142 156 192 202 234 244 280 294 324 384 430 436	-130652575240
SPT(16)	1467439674711978841	0 12 40 58 108 132 178 196 222 240 286 310 360 378 406 418	-101316687106
SPT(16)	1467441300600130483	0 4 28 60 66 88 130 150 154 174 216 238 244 276 300 304	1524571464536
TPT(14)	1467441303000116837	0 2 24 26 54 56 84 86 150 152 204 206 222 224	1526971450890
STPT(10)	1467441486031697381	0 2 6 8 18 20 30 32 36 38	1710003031434
SPT(16)	1467441988280787797	0 26 36 56 102 104 110 116 120 126 132 134 180 200 210 236	2212252121850
SPT(13)	1467442242596968531	0 12 48 78 90 108 150 192 210 222 252 288 300	2466568302584