Prime p₀= 65378698528520029 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 4 24 2 40 30 2 30 40 2 24 4 30 (?)
a_n: 0 30 34 58 60 100 130 132 162 202 204 228 232 262
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: 262
Found by: Ralfy
db: batch=67, k=14, 30 4 24 2 40 30 2

SPT(16)	65378679566317927	0 10 12 36 42 60 82 186 196 300 322 340 346 370 372 382	-18962202102
TPT(12)	65378680636199417	0 2 54 56 114 116 144 146 180 182 210 212	-17892320612
SPT(14)	65378688858330503	0 6 14 104 108 126 146 168 188 206 210 300 308 314	-9670189526
SPT(14)	65378689556621899	0 58 78 84 100 112 124 138 150 162 178 184 204 262	-8971898130
SPT(14)	65378696312311301	0 20 36 62 66 80 90 98 108 122 126 152 168 188	-2216208728
SPT(14)	65378697616165573	0 48 78 100 124 138 168 190 220 234 258 280 310 358	-912354456
SPT(14)	65378707026985411	0 10 30 52 70 78 90 100 112 120 138 160 180 190	8498465382
SPT(14)	65378710987753039	0 10 22 42 52 114 120 142 148 210 220 240 252 262	12459233010
SPT(16)	65378713437116617	0 6 16 52 54 76 142 154 222 234 300 322 324 360 370 376	14908596588
SPT(14)	65378717494108037	0 26 84 90 92 126 140 216 230 264 266 272 330 356	18965588008
TPT(12)	65378728014527909	0 2 42 44 48 50 102 104 132 134 168 170	29486007880