Prime p₀= 237588562986588553 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 30 2 28 24 6 26 6 24 28 2 30 4 (?)
a_n: 0 4 34 36 64 88 94 120 126 150 178 180 210 214
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 214
Found by: emoga
db: batch=69, k=14, 4 30 2 28 24 6 26

SPT(14)	237588537667001953	0 4 46 76 78 90 94 120 124 136 138 168 210 214	-25319586600
SPT(14)	237588538303557407	0 2 114 116 200 224 236 270 282 306 390 392 504 506	-24683031146
SPT(14)	237588548825203859	0 38 48 54 98 122 180 182 240 264 308 314 324 362	-14161384694
SPT(14)	237588550054463327	0 30 66 80 84 90 156 200 266 272 276 290 326 356	-12932125226
SPT(14)	237588550449120119	0 12 30 90 98 240 260 300 320 462 470 530 548 560	-12537468434
SPT(14)	237588552099789389	0 30 42 44 74 104 140 192 228 258 288 290 302 332	-10886799164
SPT(16)	237588569538324811	0 22 28 42 100 118 120 132 256 268 270 288 346 360 366 388	6551736258
SPT(14)	237588570658946323	0 18 66 108 124 126 130 144 148 150 166 208 256 274	7672357770
SPT(14)	237588574781587033	0 4 28 30 36 54 64 120 130 148 154 156 180 184	11794998480
SPT(14)	237588581035366357	0 34 42 46 90 114 142 144 172 196 240 244 252 286	18048777804
SPT(14)	237588603659395171	0 66 78 96 106 108 130 228 250 252 262 280 292 358	40672806618