Prime p₀= 1269012725800915651 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 28 68 12 10 20 100 8 36 4 36 8 100 20 10 12 68 28 (?)
a_n: 0 28 96 108 118 138 238 246 282 286 322 330 430 450 460 472 540 568
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 568
Found by: mikey
db: batch=77, k=18, 28 68 12 10 20 100 8 36 4

SPT(18)	1269011292793612831	0 16 22 130 180 196 210 222 232 246 256 268 282 298 348 456 462 478	-1433007302820
STPT(10)	1269011539583706419	0 2 42 44 90 92 138 140 180 182	-1186217209232
STPT(12)	1269011574219108647	0 2 30 32 42 44 102 104 114 116 144 146	-1151581807004
SPT(16)	1269011908634605459	0 30 60 88 150 174 210 220 252 262 298 322 384 412 442 472	-817166310192
TPT(14)	1269012391375670609	0 2 120 122 132 134 222 224 258 260 360 362 378 380	-334425245042
TPT(14)	1269012708936097241	0 2 6 8 96 98 156 158 210 212 216 218 228 230	-16864818410
SPT(16)	1269012778850247113	0 14 48 56 68 78 86 90 134 138 146 156 168 176 210 224	53049331462
SPT(16)	1269012906475434611	0 8 50 66 72 86 102 128 150 176 192 206 212 228 270 278	180674518960
SPT(16)	1269013055406902027	0 26 74 92 96 110 144 150 176 182 216 230 234 252 300 326	329605986376
SPT(16)	1269013673486821127	0 12 24 42 50 54 110 144 182 216 272 276 284 302 314 326	947685905476
SPT(16)	1269014059096079143	0 4 24 58 96 150 154 156 178 180 184 238 276 310 330 334	1333295163492