Prime p₀= 2123424213423826297 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 12 8 12 18 6 6 28 6 6 18 12 8 12 34 (?)
a_n: 0 34 46 54 66 84 90 96 124 130 136 154 166 174 186 220
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: 220
Found by: [SG-2W]Kurzer
db: batch=80, k=16, 34 12 8 12 18 6 6 28

STPT(12)	2123423284753568177	0 2 30 32 72 74 90 92 132 134 162 164	-928670258120
STPT(10)	2123423289888265661	0 2 6 8 18 20 30 32 36 38	-923535560636
STPT(10)	2123423360404308839	0 2 30 32 60 62 90 92 120 122	-853019517458
SPT(16)	2123423373544472683	0 4 10 28 34 88 90 94 120 124 126 180 186 204 210 214	-839879353614
SPT(16)	2123423565861670333	0 10 24 46 78 88 108 144 160 196 216 226 258 280 294 304	-647562155964
STPT(10)	2123424140818383827	0 2 30 32 72 74 114 116 144 146	-72605442470
STPT(10)	2123424254747993339	0 2 18 20 30 32 42 44 60 62	41324167042
SPT(16)	2123424259890718297	0 52 76 84 94 142 156 162 184 190 204 252 262 270 294 346	46466892000
SPT(16)	2123425123117759561	0 16 18 58 72 88 100 106 192 198 210 226 240 280 282 298	909693933264
STPT(12)	2123425308867647429	0 2 12 14 72 74 78 80 138 140 150 152	1095443821132
SPT(16)	2123425489675402519	0 22 34 54 60 124 144 204 220 280 300 364 370 390 402 424	1276251576222