Prime p₀= 12146358753716587 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 30 6 10 18 2 36 60 18 16 18 60 36 2 18 10 6 30 (?)
a_n: 0 30 36 46 64 66 102 162 180 196 214 274 310 312 330 340 346 376
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: 376
Found by: crashtech
db: batch=62, k=18, 30 6 10 18 2 36 60 18 16

SPT(14)	12146326983010331	0 20 68 72 126 132 138 140 146 152 206 210 258 278	-31770706256
SPT(14)	12146332669821271	0 36 42 88 108 126 130 168 172 190 210 256 262 298	-26083895316
SPT(20)	12146333906012707	0 24 84 112 114 120 144 154 186 192 274 280 312 322 346 352 354 382 442 466	-24847703880
SPT(14)	12146338672274341	0 42 52 78 118 120 166 192 238 240 280 306 316 358	-20081442246
SPT(14)	12146349835120411	0 16 22 28 42 60 102 106 148 166 180 186 192 208	-8918596176
SPT(14)	12146349876677141	0 38 48 60 90 152 188 192 228 290 320 332 342 380	-8877039446
TPT(12)	12146365039806719	0 2 42 44 78 80 120 122 192 194 210 212	6286090132
SPT(14)	12146391866008321	0 6 36 60 76 82 88 120 126 132 148 172 202 208	33112291734
TPT(12)	12146399096426039	0 2 18 20 30 32 42 44 90 92 168 170	40342709452
SPT(16)	12146404553712511	0 18 46 78 88 90 96 102 106 112 118 120 130 162 190 208	45799995924
TPT(12)	12146405250367601	0 2 36 38 48 50 66 68 108 110 210 212	46496651014