Prime p₀= 756704980604616887 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 22 2 4 2 22 2 28 2 (?)
a_n: 0 2 30 32 54 56 60 62 84 86 114 116
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: 116
Found by: Vitalii Koshura
db: batch=73, k=12, 2 28 2 22 2 4

STPT(10)	756704277775388309	0 2 12 14 90 92 168 170 180 182	-702829228578
SPT(18)	756704318581587689	0 8 42 48 98 144 150 152 158 294 300 302 308 354 404 410 444 452	-662023029198
STPT(10)	756704357117595077	0 2 42 44 72 74 102 104 144 146	-623487021810
SPT(16)	756704524653798449	0 78 102 150 158 192 234 248 264 278 320 354 362 410 434 512	-455950818438
SPT(16)	756704814312632057	0 42 126 144 176 186 200 230 246 276 290 300 332 350 434 476	-166291984830
SPT(16)	756704914287909107	0 2 24 30 36 44 66 80 96 110 132 140 146 152 174 176	-66316707780
SPT(16)	756705161681829361	0 36 40 46 70 78 88 102 166 180 190 198 222 228 232 268	181077212474
STPT(10)	756705530273342561	0 2 6 8 18 20 30 32 36 38	549668725674
STPT(10)	756705536795479949	0 2 18 20 30 32 42 44 60 62	556190863062
STPT(10)	756705728535822971	0 2 6 8 48 50 90 92 96 98	747931206084
SPT(16)	756705878553296759	0 44 72 92 104 150 164 170 252 258 272 318 330 350 378 422	897948679872