Prime p₀= 1079121213347901599 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 26 12 18 10 12 30 2 30 12 10 18 12 26 42 (?)
a_n: 0 42 68 80 98 108 120 150 152 182 194 204 222 234 260 302
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: 302
Found by: Theadalus
db: batch=76, k=16, 42 26 12 18 10 12 30 2

SPT(16)	1079120938799400841	0 16 22 28 66 88 106 126 172 192 210 232 270 276 282 298	-274548500758
SPT(16)	1079121009904504717	0 54 72 82 112 222 232 274 300 342 352 462 492 502 520 574	-203443396882
SPT(16)	1079121028815449489	0 18 42 44 60 78 132 150 182 200 254 272 288 290 314 332	-184532452110
STPT(10)	1079121068651660789	0 2 18 20 30 32 42 44 60 62	-144696240810
TPT(14)	1079121182614242707	0 2 30 32 42 44 132 134 144 146 294 296 480 482	-30733658892
SPT(16)	1079121213252801379	0 100 112 114 154 174 192 238 264 310 328 348 388 390 402 502	-95100220
STPT(10)	1079121330484007231	0 2 36 38 78 80 120 122 156 158	117136105632
SPT(16)	1079121361162127149	0 28 94 102 114 198 210 234 298 322 334 418 430 438 504 532	147814225550
STPT(10)	1079121387824184077	0 2 90 92 102 104 114 116 204 206	174476282478
SPT(16)	1079121752364330889	0 12 40 42 70 82 102 118 132 148 168 180 208 210 238 250	539016429290
TPT(14)	1079122513998674477	0 2 24 26 54 56 120 122 180 182 294 296 384 386	1300650772878