Prime p₀= 1020244239360517553 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 30 2 40 6 18 42 2 42 18 6 40 2 30 18 (?)
a_n: 0 18 48 50 90 96 114 156 158 200 218 224 264 266 296 314
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: 314
Found by: stoneageman
db: batch=76, k=16, 18 30 2 40 6 18 42 2

SPT(16)	1020242977782611837	0 14 44 56 60 104 144 200 270 326 366 410 414 426 456 470	-1261577905716
TPT(14)	1020243034782659507	0 2 30 32 54 56 84 86 222 224 240 242 252 254	-1204577858046
SPT(16)	1020243057867441557	0 6 66 74 84 134 144 164 186 206 216 266 276 284 344 350	-1181493075996
SPT(16)	1020243104088142079	0 48 62 120 134 138 144 150 302 308 314 318 332 390 404 452	-1135272375474
SPT(16)	1020243596948535257	0 6 56 60 74 90 126 180 266 320 356 372 386 390 440 446	-642411982296
SPT(16)	1020243798837789923	0 20 36 38 60 78 104 116 168 180 206 224 246 248 264 284	-440522727630
STPT(10)	1020244610958566009	0 2 78 80 120 122 162 164 240 242	371598048456
SPT(16)	1020244689579094339	0 12 22 24 40 42 90 112 132 154 202 204 220 222 232 244	450218576786
SPT(16)	1020244803016118483	0 30 38 48 90 104 140 144 194 198 234 248 290 300 308 338	563655600930
STPT(10)	1020244990759317077	0 2 30 32 42 44 54 56 84 86	751398799524
SPT(20)	1020245198435484223	0 16 34 54 94 108 124 126 174 186 208 220 268 270 286 300 340 360 378 394	959074966670