Prime p₀= 1535116463641519123 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 14 4 2 30 6 22 38 22 6 30 2 4 14 10 (?)
a_n: 0 10 24 28 30 60 66 88 126 148 154 184 186 190 204 214
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: 214
Found by: Theadalus
db: batch=78, k=16, 10 14 4 2 30 6 22 38

SPT(16)	1535114735862541679	0 18 20 30 72 84 110 114 128 132 158 170 212 222 224 242	-1727778977444
SPT(16)	1535115174916261223	0 8 20 24 48 90 98 138 176 216 224 266 290 294 306 314	-1288725257900
STPT(10)	1535115483787675367	0 2 30 32 42 44 54 56 84 86	-979853843756
SPT(16)	1535115649193007251	0 12 30 38 42 86 138 152 186 200 252 296 300 308 326 338	-814448511872
STPT(10)	1535115682415296349	0 2 18 20 30 32 42 44 60 62	-781226222774
STPT(10)	1535115689000233421	0 2 6 8 48 50 90 92 96 98	-774641285702
SPT(16)	1535116483837758677	0 14 44 62 72 92 126 146 150 170 204 224 234 252 282 296	20196239554
SPT(16)	1535116885881171829	0 42 48 112 148 162 174 192 220 238 250 264 300 364 370 412	422239652706
SPT(16)	1535117274569115857	0 6 26 72 96 110 146 204 272 330 366 380 404 450 470 476	810927596734
STPT(10)	1535117488919554949	0 2 48 50 90 92 132 134 180 182	1025278035826
STPT(12)	1535117606789739977	0 2 30 32 42 44 90 92 102 104 132 134	1143148220854