Prime p₀= 167940016969876609 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 6 6 30 20 16 32 16 20 30 6 6 22 (?)
a_n: 0 22 28 34 64 84 100 132 148 168 198 204 210 232
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: emoga
db: batch=67, k=14, 22 6 6 30 20 16 32

SPT(14)	167939963823450583	0 4 6 64 100 144 150 154 160 204 240 298 300 304	-53146426026
SPT(14)	167939966939275387	0 10 76 124 132 142 154 162 174 184 192 240 306 316	-50030601222
SPT(14)	167939968333295681	0 12 42 168 180 200 210 278 288 308 320 446 476 488	-48636580928
SPT(14)	167940008168397211	0 6 18 42 60 76 88 90 102 118 136 160 172 178	-8801479398
SPT(14)	167940008291301539	0 174 230 258 272 300 308 324 332 360 374 402 458 632	-8678575070
SPT(14)	167940008374079581	0 6 22 28 40 48 52 66 70 78 90 96 112 118	-8595797028
SPT(14)	167940022579190441	0 12 60 68 98 110 128 180 198 210 240 248 296 308	5609313832
SPT(14)	167940027918511949	0 14 38 44 72 122 218 234 330 380 408 414 438 452	10948635340
SPT(14)	167940036350966779	0 12 28 30 64 72 100 102 130 138 172 174 190 202	19381090170
SPT(14)	167940041862609019	0 48 94 120 154 238 264 274 300 384 418 444 490 538	24892732410
TPT(14)	167940051579339461	0 2 30 32 36 38 48 50 78 80 156 158 186 188	34609462852