Prime p₀= 197576701685563259 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 58 2 82 2 28 2 124 2 (?)
a_n: 0 2 78 80 138 140 222 224 252 254 378 380
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: 380
Found by: desktop64
db: batch=69, k=12, 76 58 82 28 124

SPT(14)	197576653538561029	0 10 40 102 124 210 214 300 304 390 412 474 504 514	-48147002230
SPT(14)	197576680675915363	0 28 60 84 124 186 190 264 268 330 370 394 426 454	-21009647896
SPT(14)	197576685686966501	0 12 32 90 128 158 170 198 210 240 278 336 356 368	-15998596758
SPT(14)	197576689231167151	0 6 10 36 48 58 72 76 90 100 112 138 142 148	-12454396108
SPT(14)	197576697435171937	0 10 16 24 70 84 100 156 172 186 232 240 246 256	-4250391322
TPT(12)	197576698281195689	0 2 42 44 108 110 150 152 240 242 288 290	-3404367570
TPT(12)	197576716919555381	0 2 78 80 156 158 246 248 258 260 288 290	15233992122
SPT(14)	197576725983699649	0 10 30 34 48 60 70 72 82 94 108 112 132 142	24298136390
SPT(14)	197576744026295063	0 26 30 50 66 68 96 110 138 140 156 176 180 206	42340731804
SPT(14)	197576744639768597	0 12 42 50 54 56 80 96 120 122 126 134 164 176	42954205338
SPT(14)	197576750255294021	0 8 62 72 86 96 108 110 122 132 146 156 210 218	48569730762