Prime p₀= 65378688858330503 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 8 90 4 18 20 22 20 18 4 90 8 6 (?)
a_n: 0 6 14 104 108 126 146 168 188 206 210 300 308 314
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: 314
Found by: Ralfy
db: batch=67, k=14, 6 8 90 4 18 20 22

SPT(14)	65378662853423681	0 6 68 80 90 98 116 132 150 158 168 180 242 248	-26004906822
SPT(14)	65378665297394849	0 30 60 110 228 240 254 318 332 344 462 512 542 572	-23560935654
TPT(12)	65378666720700251	0 2 18 20 78 80 120 122 156 158 270 272	-22137630252
SPT(14)	65378668337256871	0 16 28 42 46 58 70 78 90 102 106 120 132 148	-20521073632
SPT(16)	65378679566317927	0 10 12 36 42 60 82 186 196 300 322 340 346 370 372 382	-9292012576
TPT(12)	65378680636199417	0 2 54 56 114 116 144 146 180 182 210 212	-8222131086
SPT(14)	65378689556621899	0 58 78 84 100 112 124 138 150 162 178 184 204 262	698291396
SPT(14)	65378696312311301	0 20 36 62 66 80 90 98 108 122 126 152 168 188	7453980798
SPT(14)	65378697616165573	0 48 78 100 124 138 168 190 220 234 258 280 310 358	8757835070
SPT(14)	65378698528520029	0 30 34 58 60 100 130 132 162 202 204 228 232 262	9670189526
SPT(14)	65378707026985411	0 10 30 52 70 78 90 100 112 120 138 160 180 190	18168654908