Prime p₀= 65378689556621899 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 58 20 6 16 12 12 14 12 12 16 6 20 58 (?)
a_n: 0 58 78 84 100 112 124 138 150 162 178 184 204 262
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, 58 20 6 16 12 12 14

SPT(14)	65378665297394849	0 30 60 110 228 240 254 318 332 344 462 512 542 572	-24259227050
TPT(12)	65378666720700251	0 2 18 20 78 80 120 122 156 158 270 272	-22835921648
SPT(14)	65378668337256871	0 16 28 42 46 58 70 78 90 102 106 120 132 148	-21219365028
SPT(16)	65378679566317927	0 10 12 36 42 60 82 186 196 300 322 340 346 370 372 382	-9990303972
TPT(12)	65378680636199417	0 2 54 56 114 116 144 146 180 182 210 212	-8920422482
SPT(14)	65378688858330503	0 6 14 104 108 126 146 168 188 206 210 300 308 314	-698291396
SPT(14)	65378696312311301	0 20 36 62 66 80 90 98 108 122 126 152 168 188	6755689402
SPT(14)	65378697616165573	0 48 78 100 124 138 168 190 220 234 258 280 310 358	8059543674
SPT(14)	65378698528520029	0 30 34 58 60 100 130 132 162 202 204 228 232 262	8971898130
SPT(14)	65378707026985411	0 10 30 52 70 78 90 100 112 120 138 160 180 190	17470363512
SPT(14)	65378710987753039	0 10 22 42 52 114 120 142 148 210 220 240 252 262	21431131140