Prime p₀= 1248277829396994923 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 96 14 12 10 20 4 26 4 20 10 12 14 96 18 (?)
a_n: 0 18 114 128 140 150 170 174 200 204 224 234 246 260 356 374
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: 374
Found by: Cruncher Pete
db: batch=77, k=16, 18 96 14 12 10 20 4 26

SPT(16)	1248277031499810859	0 22 30 82 88 100 130 138 154 162 192 204 210 262 270 292	-797897184064
SPT(18)	1248277068561699559	0 4 18 34 54 84 118 120 190 192 262 264 298 328 348 364 378 382	-760835295364
SPT(16)	1248277261879403351	0 12 36 56 72 78 92 128 150 186 200 206 222 242 266 278	-567517591572
STPT(10)	1248277595484605039	0 2 48 50 90 92 132 134 180 182	-233912389884
SPT(16)	1248277813298580061	0 12 46 60 70 112 130 166 186 222 240 282 292 306 340 352	-16098414862
STPT(10)	1248277825171477277	0 2 60 62 72 74 84 86 144 146	-4225517646
SPT(16)	1248278006982106853	0 90 104 168 188 224 230 258 260 288 294 330 350 414 428 518	177585111930
STPT(10)	1248278022550841057	0 2 12 14 42 44 72 74 84 86	193153846134
SPT(16)	1248278051136694493	0 6 14 18 26 44 48 90 194 236 240 258 266 270 278 284	221739699570
SPT(16)	1248278182655465959	0 22 34 48 78 88 130 138 154 162 204 214 244 258 270 292	353258471036
SPT(16)	1248278637402592801	0 40 76 82 90 96 120 132 196 208 232 238 246 252 288 328	808005597878