Prime p₀= 1020020377024204631 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 50 48 18 22 12 26 16 44 16 26 12 22 18 48 50 (?)
a_n: 0 50 98 116 138 150 176 192 236 252 278 290 312 330 378 428
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: stoneageman
db: batch=76, k=16, 50 48 18 22 12 26 16 44

SPT(16)	1020019619880147583	0 16 34 48 54 88 90 100 114 124 126 160 166 180 198 214	-757144057048
STPT(10)	1020019709999530319	0 2 48 50 60 62 72 74 120 122	-667024674312
SPT(16)	1020019779539863891	0 40 46 60 66 90 126 130 132 136 172 196 202 216 222 262	-597484340740
SPT(16)	1020019860079151713	0 48 78 90 144 160 190 196 228 234 264 280 334 346 376 424	-516945052918
STPT(10)	1020020096929290167	0 2 42 44 72 74 102 104 144 146	-280094914464
TPT(14)	1020020152138705979	0 2 72 74 120 122 198 200 450 452 492 494 510 512	-224885498652
STPT(10)	1020020439310479989	0 2 48 50 90 92 132 134 180 182	62286275358
SPT(16)	1020020453473620749	0 14 20 24 38 50 78 90 182 194 222 234 248 252 258 272	76449416118
STPT(10)	1020020952152686439	0 2 48 50 90 92 132 134 180 182	575128481808
SPT(16)	1020021030260327243	0 14 30 38 66 126 128 144 290 306 308 368 396 404 420 434	653236122612
STPT(10)	1020021076159737317	0 2 12 14 42 44 72 74 84 86	699135532686