Prime p₀= 400279900105240577 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 82 2 124 2 28 2 28 2 (?)
a_n: 0 2 30 32 114 116 240 242 270 272 300 302
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: 302
Found by: Ralfy
db: batch=70, k=12, 28 82 124 28 28

SPT(14)	400279756980884971	0 16 28 60 88 102 106 192 196 210 238 270 282 298	-143124355606
TPT(12)	400279819149754877	0 2 12 14 54 56 132 134 144 146 210 212	-80955485700
SPT(14)	400279824365344081	0 30 42 88 90 100 132 166 198 208 210 256 268 298	-75739896496
SPT(14)	400279832780439961	0 10 16 42 52 66 100 108 142 156 166 192 198 208	-67324800616
TPT(12)	400279882507222097	0 2 72 74 162 164 210 212 282 284 354 356	-17598018480
TPT(12)	400279885180738331	0 2 30 32 96 98 138 140 156 158 228 230	-14924502246
SPT(14)	400279903559350613	0 50 66 84 116 156 194 210 248 288 320 338 354 404	3454110036
SPT(14)	400279913236378783	0 4 10 34 40 54 76 144 166 180 186 210 216 220	13131138206
SPT(14)	400279932225976093	0 36 58 64 76 90 118 126 154 168 180 186 208 244	32120735516
SPT(16)	400279944438928627	0 6 16 30 40 64 120 124 156 160 216 240 250 264 274 280	44333688050
SPT(14)	400279963890610523	0 26 66 108 128 174 180 224 230 276 296 338 378 404	63785369946