Prime p₀= 1510588763313292139 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 24 28 2 22 20 16 2 16 20 22 2 28 24 68 (?)
a_n: 0 68 92 120 122 144 164 180 182 198 218 240 242 270 294 362
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: 362
Found by: Spectrum
db: batch=78, k=16, 68 24 28 2 22 20 16 2

SPT(16)	1510587798508401329	0 12 30 38 68 72 90 92 168 170 188 192 222 230 248 260	-964804890810
SPT(16)	1510587808192404391	0 42 48 102 108 130 142 168 202 228 240 262 268 322 328 370	-955120887748
SPT(16)	1510588011273714367	0 66 106 124 154 166 180 210 220 250 264 276 306 324 364 430	-752039577772
STPT(10)	1510588388288020211	0 2 30 32 78 80 126 128 156 158	-375025271928
STPT(10)	1510588500188868011	0 2 6 8 18 20 30 32 36 38	-263124424128
SPT(16)	1510588525745406641	0 8 18 32 36 42 72 108 140 176 206 212 216 230 240 248	-237567885498
STPT(10)	1510589171553877661	0 2 36 38 78 80 120 122 156 158	408240585522
SPT(16)	1510589193699987857	0 24 32 66 74 96 120 144 242 266 290 312 320 354 362 386	430386695718
SPT(16)	1510589614219584403	0 4 16 24 30 66 84 136 198 250 268 304 310 318 330 334	850906292264
SPT(16)	1510590056907396383	0 14 48 114 140 150 158 168 206 216 224 234 260 326 360 374	1293594104244
TPT(14)	1510590066817638797	0 2 102 104 144 146 174 176 180 182 210 212 222 224	1303504346658