Prime p₀= 166400628522650441 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 124 2 82 2 4 2 88 2 40 2 (?)
a_n: 0 2 126 128 210 212 216 218 306 308 348 350
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: 350
Found by: Dario666
db: batch=67, k=12, 124 82 4 88 40

SPT(14)	166400602112353109	0 30 50 78 114 120 132 140 152 158 194 222 242 272	-26410297332
SPT(14)	166400611924490891	0 90 110 150 162 168 176 252 260 266 278 318 338 428	-16598159550
SPT(14)	166400614323094007	0 2 62 72 104 114 126 140 152 162 194 204 264 266	-14199556434
SPT(14)	166400617967289401	0 26 50 62 66 68 86 132 150 152 156 168 192 218	-10555361040
STPT(10)	166400625208387907	0 2 30 32 42 44 54 56 84 86	-3314262534
SPT(14)	166400627272917407	0 24 54 66 80 90 102 104 116 126 140 152 182 206	-1249733034
SPT(14)	166400639804156651	0 20 36 56 66 80 90 98 108 122 132 152 168 188	11281506210
SPT(14)	166400642684139307	0 34 36 42 70 90 100 126 136 156 184 190 192 226	14161488866
TPT(12)	166400678541927197	0 2 30 32 42 44 222 224 294 296 342 344	50019276756
SPT(14)	166400690580566231	0 6 56 72 98 116 158 210 252 270 296 312 362 368	62057915790
SPT(14)	166400710321325839	0 24 58 90 102 108 118 144 154 160 172 204 238 262	81798675398