Prime p₀= 4387486754114947393 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 50 30 10 18 24 6 26 6 24 18 10 30 50 16 (?)
a_n: 0 16 66 96 106 124 148 154 180 186 210 228 238 268 318 334
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: 334
Found by: [SG]KidDoesCrunch
db: batch=85, k=16, 16 50 30 10 18 24 6 26

SPT(16)	4387485225568526437	0 42 52 90 114 126 154 184 192 222 250 262 286 324 334 376	-1528546420956
STPT(10)	4387485273221682341	0 2 78 80 108 110 138 140 216 218	-1480893265052
SPT(16)	4387485387551925227	0 6 24 30 44 62 86 126 230 270 294 312 326 332 350 356	-1366563022166
SPT(16)	4387485501048976897	0 42 82 90 124 126 130 132 244 246 250 252 286 294 334 376	-1253065970496
SPT(16)	4387486354764882731	0 36 62 108 216 218 246 300 428 482 510 512 620 666 692 728	-399350064662
SPT(16)	4387486660941566719	0 12 34 60 78 82 154 162 220 228 300 304 322 348 370 382	-93173380674
SPT(16)	4387486911443466101	0 8 42 62 66 96 110 182 186 258 272 302 306 326 360 368	157328518708
STPT(10)	4387487161550980841	0 2 6 8 48 50 90 92 96 98	407436033448
TPT(14)	4387487644482081239	0 2 60 62 240 242 258 260 270 272 282 284 378 380	890367133846
SPT(16)	4387487660688692099	0 42 60 108 134 192 228 242 270 284 320 378 404 452 470 512	906573744706
SPT(16)	4387487671681225997	0 42 90 92 132 146 186 200 246 260 300 314 354 356 404 446	917566278604