Prime p₀= 2044664875579316621 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 38 16 2 70 2 12 124 12 2 70 2 16 38 12 (?)
a_n: 0 12 50 66 68 138 140 152 276 288 290 360 362 378 416 428
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 428
Found by: Dingo
db: batch=80, k=16, 12 38 16 2 70 2 12 124

STPT(10)	2044664228270381747	0 2 12 14 42 44 72 74 84 86	-647308934874
STPT(10)	2044664290298181449	0 2 42 44 60 62 78 80 120 122	-585281135172
STPT(10)	2044664585218567811	0 2 36 38 78 80 120 122 156 158	-290360748810
SPT(16)	2044664640587108831	0 18 26 32 36 42 68 92 96 120 146 152 156 162 170 188	-234992207790
SPT(16)	2044664726011960111	0 16 42 108 138 148 190 288 310 408 450 460 490 556 582 598	-149567356510
SPT(16)	2044664842684056031	0 36 40 112 150 208 228 256 312 340 360 418 456 528 532 568	-32895260590
STPT(10)	2044665087841948469	0 2 18 20 30 32 42 44 60 62	212262631848
SPT(16)	2044665152352610009	0 28 94 102 148 178 192 210 232 250 264 294 340 348 414 442	276773293388
SPT(16)	2044665480140092787	0 24 26 50 66 132 186 234 302 350 404 470 486 510 512 536	604560776166
SPT(16)	2044665813900815117	0 12 36 56 62 84 90 102 134 146 152 174 180 200 224 236	938321498496
SPT(16)	2044665902625546559	0 34 60 94 130 142 192 232 282 322 372 384 420 454 480 514	1027046229938