Prime p₀= 18691418604958859 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 94 2 40 2 40 2 (?)
a_n: 0 2 12 14 42 44 138 140 180 182 222 224
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: 224
Found by: emoga
db: batch=62, k=12, 10 28 94 40 40

SPT(14)	18691385187386893	0 4 48 66 70 144 148 156 160 234 238 256 300 304	-33417571966
SPT(14)	18691390120975841	0 8 26 38 42 48 90 98 140 146 150 162 180 188	-28483983018
SPT(14)	18691392167321959	0 4 54 64 72 100 130 222 252 280 288 298 348 352	-26437636900
SPT(14)	18691397259980717	0 12 44 54 72 90 104 150 164 182 200 210 242 254	-21344978142
SPT(16)	18691407236163901	0 16 28 106 120 180 186 192 226 232 238 298 312 390 402 418	-11368794958
SPT(14)	18691409557694611	0 6 58 78 100 150 190 246 286 336 358 378 430 436	-9047264248
SPT(16)	18691419782227561	0 6 42 66 78 88 130 136 162 168 210 220 232 256 292 298	1177268702
TPT(12)	18691431716170247	0 2 72 74 192 194 222 224 264 266 312 314	13111211388
SPT(14)	18691445493793043	0 20 48 104 108 114 138 140 164 170 174 230 258 278	26888834184
TPT(12)	18691445707539887	0 2 42 44 84 86 120 122 144 146 162 164	27102581028
TPT(12)	18691455754439591	0 2 6 8 30 32 48 50 126 128 138 140	37149480732