Prime p₀= 406958443465460833 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 14 28 2 40 2 124 2 40 2 28 14 4 (?)
a_n: 0 4 18 46 48 88 90 214 216 256 258 286 300 304
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: 304
Found by: vinn@[CNT]
db: batch=70, k=14, 4 14 28 2 40 2 124

SPT(14)	406958381557269271	0 30 36 58 72 108 130 168 190 226 240 262 268 298	-61908191562
SPT(14)	406958409327246827	0 12 26 42 44 110 116 180 186 252 254 270 284 296	-34138214006
SPT(14)	406958412220437397	0 22 36 40 46 60 66 106 112 126 132 136 150 172	-31245023436
SPT(14)	406958421900818797	0 16 64 70 84 130 162 184 216 262 276 282 330 346	-21564642036
SPT(14)	406958433200106257	0 2 30 42 60 92 134 162 204 236 254 266 294 296	-10265354576
SPT(14)	406958436503462341	0 12 16 60 66 106 156 262 312 352 358 402 406 418	-6961998492
SPT(14)	406958460098246051	0 2 6 30 62 72 90 128 146 156 188 212 216 218	16632785218
TPT(12)	406958475620499377	0 2 12 14 84 86 120 122 222 224 264 266	32155038544
SPT(14)	406958504829848471	0 92 96 156 170 192 222 236 266 288 302 362 366 458	61364387638
SPT(14)	406958545996016149	0 18 24 28 58 64 72 100 108 114 144 148 154 172	102530555316
SPT(14)	406958574154687249	0 18 48 58 78 88 90 100 102 112 132 142 172 190	130689226416