Prime p₀= 68659996365864641 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 10 8 58 26 6 22 6 26 58 8 10 20 (?)
a_n: 0 20 30 38 96 122 128 150 156 182 240 248 258 278
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: 278
Found by: nenym
db: batch=67, k=14, 20 10 8 58 26 6 22

SPT(14)	68659913311678979	0 12 14 44 80 110 132 170 192 222 258 288 290 302	-83054185662
SPT(14)	68659918377276091	0 12 40 60 130 136 166 192 222 228 298 318 346 358	-77988588550
SPT(14)	68659969173163073	0 24 44 90 104 116 146 168 198 210 224 270 290 314	-27192701568
SPT(14)	68659970687586581	0 2 8 36 56 72 90 128 146 162 182 210 216 218	-25678278060
SPT(14)	68659975831313917	0 24 46 52 96 150 156 250 256 310 354 360 382 406	-20534550724
SPT(14)	68659985877490391	0 18 26 38 80 108 150 158 200 228 270 282 290 308	-10488374250
SPT(14)	68660007229286527	0 6 10 40 42 70 82 174 186 214 216 246 250 256	10863421886
SPT(14)	68660008435287569	0 2 14 24 42 60 84 128 152 170 188 198 210 212	12069422928
SPT(14)	68660014616130319	0 4 42 54 64 82 148 204 270 288 298 310 348 352	18250265678
SPT(14)	68660014985318221	0 22 36 40 58 66 72 76 82 90 108 112 126 148	18619453580
STPT(10)	68660023515853109	0 2 18 20 30 32 42 44 60 62	27149988468