Prime p₀= 2098040852930712539 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 92
Found by: Landjunge
db: batch=80, k=12, 2 10 2 28 2 4

SPT(16)	2098039799223395267	0 44 50 86 102 140 174 182 234 242 276 314 330 366 372 416	-1053707317272
SPT(16)	2098040041954283813	0 8 14 44 114 128 150 158 330 338 360 374 444 474 480 488	-810976428726
STPT(10)	2098040102779116677	0 2 30 32 42 44 54 56 84 86	-750151595862
SPT(16)	2098040159586025541	0 32 38 98 150 182 186 216 302 332 336 368 420 480 486 518	-693344686998
STPT(12)	2098040806141601687	0 2 60 62 84 86 90 92 114 116 174 176	-46789110852
SPT(16)	2098040837773467571	0 12 66 88 96 102 112 136 162 186 196 202 210 232 286 298	-15157244968
STPT(10)	2098041298740377831	0 2 36 38 78 80 120 122 156 158	445809665292
STPT(10)	2098042183735629401	0 2 6 8 48 50 90 92 96 98	1330804916862
SPT(16)	2098042341596935411	0 10 30 40 42 60 108 138 142 172 220 238 240 250 270 280	1488666222872
SPT(16)	2098042569994653353	0 38 60 80 84 108 110 158 246 294 296 320 324 344 366 404	1717063940814
TPT(14)	2098042630759480541	0 2 108 110 210 212 276 278 318 320 336 338 360 362	1777828768002