Prime p₀= 2030310994889163557 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: Landjunge
db: batch=80, k=12, 2 28 2 28 2 10

SPT(16)	2030310193230132041	0 8 42 78 120 128 152 156 182 186 210 218 260 296 330 338	-801659031516
SPT(16)	2030310370892646131	0 18 50 56 86 92 128 186 242 300 336 342 372 378 410 428	-623996517426
STPT(10)	2030310498035184689	0 2 18 20 30 32 42 44 60 62	-496853978868
SPT(16)	2030310566716452281	0 50 66 98 126 132 150 192 326 368 386 392 420 452 468 518	-428172711276
SPT(16)	2030310753259022153	0 6 20 30 36 44 66 84 86 104 126 134 140 150 164 170	-241630141404
STPT(10)	2030310925892200571	0 2 6 8 48 50 90 92 96 98	-68996962986
STPT(10)	2030311140997526111	0 2 6 8 48 50 90 92 96 98	146108362554
SPT(16)	2030311711805779817	0 6 30 42 50 56 74 90 116 132 150 156 164 176 200 206	716916616260
TPT(14)	2030311756127350049	0 2 12 14 72 74 90 92 222 224 228 230 252 254	761238186492
SPT(16)	2030313728639485727	0 50 54 62 104 162 180 194 240 254 272 330 372 380 384 434	2733750322170
SPT(16)	2030313802734935489	0 48 78 84 98 120 122 168 254 300 302 324 338 344 374 422	2807845771932