Prime p₀= 9069455606337809 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 34 2 10 2 28 2 40 2 (?)
a_n: 0 2 12 14 48 50 60 62 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: Scortch
db: batch=62, k=12, 10 34 10 28 40

SPT(14)	9069405375494483	0 116 120 138 174 180 188 216 224 230 266 284 288 404	-50230843326
SPT(14)	9069407273997671	0 20 30 32 108 116 128 210 222 230 306 308 318 338	-48332340138
SPT(14)	9069417677827357	0 6 54 162 174 210 240 256 286 322 334 442 490 496	-37928510452
TPT(12)	9069423422193221	0 2 48 50 90 92 96 98 150 152 168 170	-32184144588
TPT(12)	9069436054388789	0 2 30 32 78 80 102 104 120 122 162 164	-19551949020
SPT(14)	9069446495336077	0 4 30 34 54 100 102 142 144 190 210 214 240 244	-9111001732
SPT(14)	9069475213592333	0 38 50 66 78 114 116 168 170 206 218 234 246 284	19607254524
SPT(16)	9069475735842547	0 42 54 82 120 132 204 232 264 292 364 376 414 442 454 496	20129504738
SPT(14)	9069481190816863	0 60 78 84 94 108 130 168 190 204 214 220 238 298	25584479054
SPT(16)	9069482380701989	0 2 42 68 78 134 138 164 198 224 228 284 294 320 360 362	26774364180
SPT(14)	9069497336941159	0 10 28 30 48 60 72 88 100 112 130 132 150 160	41730603350