Prime p₀= 998573262303651971 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 4 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 66 68 96 98 126 128
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: 128
Found by: HenkM
db: batch=76, k=12, 2 28 2 28 2 4

SPT(16)	998572639321559837	0 36 66 80 104 134 146 156 230 240 252 282 306 320 350 386	-622982092134
SPT(16)	998572728261868883	0 14 54 78 90 104 116 134 180 198 210 224 236 260 300 314	-534041783088
SPT(16)	998572743180806173	0 18 48 58 64 90 100 106 168 174 184 210 216 226 256 274	-519122845798
TPT(14)	998573182425036917	0 2 54 56 72 74 180 182 240 242 294 296 312 314	-79878615054
SPT(16)	998573196565168351	0 30 36 58 100 112 156 208 210 262 306 318 360 382 388 418	-65738483620
SPT(16)	998573250336811099	0 18 40 70 84 88 90 130 132 172 174 178 192 222 244 262	-11966840872
STPT(10)	998573328323598257	0 2 24 26 42 44 60 62 84 86	66019946286
SPT(16)	998573673368821573	0 6 60 84 90 118 156 226 228 298 336 364 370 394 448 454	411065169602
STPT(10)	998573696622445367	0 2 30 32 72 74 114 116 144 146	434318793396
TPT(14)	998573744621918537	0 2 114 116 144 146 354 356 372 374 462 464 492 494	482318266566
SPT(16)	998573956825902463	0 84 88 144 174 238 250 268 336 354 366 430 460 516 520 604	694522250492