Prime p₀= 2268440969349123139 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 36 4 44 18 54 30 4 30 54 18 44 4 36 18 (?)
a_n: 0 18 54 58 102 120 174 204 208 238 292 310 354 358 394 412
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: 412
Found by: JayPi
db: batch=81, k=16, 18 36 4 44 18 54 30 4

SPT(13)	2268440017267212563	0 36 66 120 126 186 210 234 294 300 354 384 420	-952081910576
SPT(16)	2268440235873440071	0 6 48 72 78 120 132 156 202 226 238 280 286 310 352 358	-733475683068
SPT(16)	2268440255449121059	0 40 54 78 82 144 180 190 192 202 238 300 304 328 342 382	-713900002080
SPT(16)	2268440388914509487	0 30 32 72 74 132 140 144 182 186 194 252 254 294 296 326	-580434613652
SPT(16)	2268440436476722087	0 30 46 72 84 172 214 220 276 282 324 412 424 450 466 496	-532872401052
SPT(16)	2268440857675383757	0 4 16 84 90 114 136 142 144 150 172 196 202 270 282 286	-111673739382
STPT(10)	2268441039122656817	0 2 12 14 42 44 72 74 84 86	69773533678
STPT(10)	2268441332567209757	0 2 24 26 42 44 60 62 84 86	363218086618
SPT(16)	2268441546468455843	0 104 108 158 168 206 218 246 338 366 378 416 426 476 480 584	577119332704
SPT(16)	2268441630880047901	0 6 42 46 66 70 78 90 148 160 168 172 192 196 232 238	661530924762
SPT(16)	2268441700375490693	0 78 84 86 158 308 320 348 386 414 426 576 648 650 656 734	731026367554