Prime p₀= 2051679338798414033 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 20 4 6 6 8 34 36 12 2 12 36 34 8 6 6 4 20 (?)
a_n: 0 20 24 30 36 44 78 114 126 128 140 176 210 218 224 230 234 254
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: 254
Found by: Orange Kid
db: batch=80, k=18, 20 4 6 6 8 34 36 12 2

SPT(18)	2051678684553962741	0 12 92 96 120 146 158 168 228 260 320 330 342 368 392 396 476 488	-654244451292
SPT(16)	2051678886320496313	0 30 34 46 70 84 124 154 240 270 310 324 348 360 364 394	-452477917720
SPT(16)	2051679001734379601	0 6 50 56 90 96 122 188 210 276 302 308 342 348 392 398	-337064034432
SPT(16)	2051679158096742079	0 22 52 78 90 112 124 190 222 288 300 322 334 360 390 412	-180701671954
STPT(10)	2051679252868826549	0 2 48 50 90 92 132 134 180 182	-85929587484
STPT(10)	2051679315297922859	0 2 48 50 90 92 132 134 180 182	-23500491174
SPT(16)	2051679453814094191	0 6 28 48 72 106 118 132 136 150 162 196 220 240 262 268	115015680158
SPT(16)	2051679498515712349	0 22 40 42 118 120 142 204 208 270 292 294 370 372 390 412	159717298316
SPT(16)	2051679740631505489	0 40 84 142 192 198 204 220 252 268 274 280 330 388 432 472	401833091456
SPT(16)	2051679742072549553	0 18 24 60 68 108 138 200 258 320 350 390 398 434 440 458	403274135520
SPT(16)	2051679811817136209	0 14 18 24 30 42 44 60 62 78 80 92 98 104 108 122	473018722176