Prime p₀= 3919097325356243 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 8 12 10 8 6 6 28 6 6 8 10 12 8 (?)
a_n: 0 8 20 30 38 44 50 78 84 90 98 108 120 128
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: 128
Found by: amazing
db: batch=61, k=14, 8 12 10 8 6 6 28

SPT(14)	3919068935585627	0 32 50 54 62 74 96 140 162 174 182 186 204 236	-28389770616
SPT(14)	3919073987496797	0 24 30 84 86 96 110 150 164 174 176 230 236 260	-23337859446
SPT(14)	3919075387855513	0 4 34 36 100 118 130 144 156 174 238 240 270 274	-21937500730
SPT(14)	3919075540829209	0 28 48 78 102 148 160 222 234 280 304 334 354 382	-21784527034
TPT(12)	3919084042222931	0 2 30 32 108 110 138 140 156 158 168 170	-13283133312
TPT(12)	3919093681766441	0 2 6 8 78 80 90 92 96 98 138 140	-3643589802
SPT(16)	3919102610444039	0 12 18 30 32 98 102 110 120 128 132 198 200 212 218 230	5285087796
SPT(14)	3919105544509973	0 54 56 74 80 86 98 156 168 174 180 198 200 254	8219153730
SPT(14)	3919112239728841	0 18 22 82 100 130 138 172 180 210 228 288 292 310	14914372598
SPT(14)	3919114500280279	0 10 18 70 82 84 150 172 238 240 252 304 312 322	17174924036
SPT(14)	3919116684237127	0 42 46 66 72 90 154 192 256 274 280 300 304 346	19358880884