Prime p₀= 1211493347643311539 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 24 20 10 72 44 4 32 4 44 72 10 20 24 4 (?)
a_n: 0 4 28 48 58 130 174 178 210 214 258 330 340 360 384 388
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: 388
Found by: Megacruncher
db: batch=77, k=16, 4 24 20 10 72 44 4 32

SPT(16)	1211492889137881187	0 26 50 56 80 122 132 146 180 194 204 246 270 276 300 326	-458505430352
SPT(16)	1211493046201997267	0 14 44 66 80 122 126 132 164 170 174 216 230 252 282 296	-301441314272
STPT(10)	1211493095525195969	0 2 48 50 90 92 132 134 180 182	-252118115570
SPT(16)	1211493222184181239	0 30 34 70 114 132 144 150 154 160 172 190 234 270 274 304	-125459130300
SPT(16)	1211493317703105863	0 48 110 116 158 164 180 186 188 194 210 216 258 264 326 374	-29940205676
SPT(16)	1211493318823321643	0 30 48 84 110 116 128 134 180 186 198 204 230 266 284 314	-28819989896
STPT(10)	1211493591170068931	0 2 6 8 48 50 90 92 96 98	243526757392
SPT(16)	1211493664170398767	0 90 124 126 240 324 396 460 510 574 646 730 844 846 880 970	316527087228
STPT(10)	1211494259636977439	0 2 48 50 90 92 132 134 180 182	911993665900
SPT(16)	1211494434916861159	0 4 10 18 54 70 88 100 138 150 168 184 220 228 234 238	1087273549620
SPT(16)	1211494687983980269	0 18 24 34 64 78 100 108 154 162 184 198 228 238 244 262	1340340668730