Prime p₀= 36565341823121191 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 42 24 70 30 32 4 14 4 32 30 70 24 42 (?)
a_n: 0 42 66 136 166 198 202 216 220 252 282 352 376 418
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: 418
Found by: ChelseaOilman
db: batch=65, k=14, 42 24 70 30 32 4 14

SPT(16)	36565325927232937	0 6 22 46 60 76 84 90 106 112 120 136 150 174 190 196	-15895888254
SPT(14)	36565329396899167	0 16 36 54 76 90 126 154 190 204 226 244 264 280	-12426222024
SPT(14)	36565335307373959	0 58 78 88 154 184 240 328 384 414 480 490 510 568	-6515747232
SPT(14)	36565336294916711	0 20 32 66 90 126 192 200 266 302 326 360 372 392	-5528204480
SPT(14)	36565336713922777	0 4 10 34 66 76 112 144 180 190 222 246 252 256	-5109198414
SPT(14)	36565337153255747	0 2 42 44 50 62 84 92 114 126 132 134 174 176	-4669865444
TPT(12)	36565345639438541	0 2 30 32 48 50 90 92 120 122 228 230	3816317350
SPT(14)	36565345662455383	0 28 48 60 78 88 90 118 120 130 148 160 180 208	3839334192
SPT(14)	36565347715671629	0 38 50 92 114 134 152 210 228 248 270 312 324 362	5892550438
SPT(14)	36565348890090719	0 14 24 32 54 72 80 102 110 128 150 158 168 182	7066969528
SPT(14)	36565359988130821	0 16 42 46 112 210 240 262 292 390 456 460 486 502	18165009630