Prime p₀= 204771026668436909 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 16 2 40 2 (?)
a_n: 0 2 30 32 42 44 72 74 90 92 132 134
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: 134
Found by: LeChat51X
db: batch=69, k=12, 28 10 28 16 40

SPT(16)	204770943619106509	0 10 28 42 54 60 108 112 120 124 172 178 190 204 222 232	-83049330400
SPT(14)	204770946642085399	0 28 42 60 64 72 78 184 190 198 202 220 234 262	-80026351510
SPT(14)	204770994363572489	0 54 90 158 198 212 222 230 240 254 294 362 398 452	-32304864420
SPT(14)	204770999585242093	0 28 34 58 78 120 126 148 154 196 216 240 246 274	-27083194816
SPT(14)	204771002195142283	0 10 36 54 60 84 94 180 190 214 220 238 264 274	-24473294626
SPT(14)	204771006061124611	0 150 160 168 190 196 198 238 240 246 268 276 286 436	-20607312298
SPT(14)	204771050461447027	0 24 70 90 94 126 166 174 214 246 250 270 316 340	23793010118
SPT(14)	204771079444945753	0 34 36 54 76 136 160 180 204 264 286 304 306 340	52776508844
SPT(14)	204771081085938041	0 6 30 50 72 78 98 120 140 146 168 188 212 218	54417501132
SPT(14)	204771094815291793	0 6 48 60 64 106 138 196 228 270 274 286 328 334	68146854884
SPT(14)	204771111793478389	0 4 12 54 78 82 102 130 150 154 178 220 228 232	85125041480