Prime p₀= 1049013342618301409 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 24 26 16 20 70 8 58 8 70 20 16 26 24 18 (?)
a_n: 0 18 42 68 84 104 174 182 240 248 318 338 354 380 404 422
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: 422
Found by: stoneageman
db: batch=76, k=16, 18 24 26 16 20 70 8 58

SPT(16)	1049012836558849661	0 32 78 90 116 120 122 132 176 186 188 192 218 230 276 308	-506059451748
STPT(10)	1049012896765607819	0 2 48 50 90 92 132 134 180 182	-445852693590
STPT(10)	1049012911224103919	0 2 42 44 60 62 78 80 120 122	-431394197490
SPT(16)	1049012975955258841	0 10 18 28 30 66 72 76 102 106 112 148 150 160 168 178	-366663042568
STPT(10)	1049013170220088259	0 2 18 20 30 32 42 44 60 62	-172398213150
SPT(16)	1049013191615452097	0 12 26 66 80 180 212 216 416 420 452 552 566 606 620 632	-151002849312
SPT(16)	1049013501106613893	0 4 34 58 70 88 90 114 130 154 156 174 186 210 240 244	158488312484
SPT(16)	1049013911794996339	0 24 30 52 70 78 90 108 124 142 154 162 180 202 208 232	569176694930
TPT(14)	1049013966546693221	0 2 90 92 126 128 216 218 228 230 240 242 258 260	623928391812
TPT(14)	1049014181920101431	0 2 138 140 156 158 168 170 306 308 378 380 396 398	839301800022
SPT(16)	1049014350388142041	0 10 12 60 70 72 96 112 126 142 166 168 178 226 228 238	1007769840632