Prime p₀= 126537152665783721 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 40 2 28 2 28 2 16 2 (?)
a_n: 0 2 36 38 78 80 108 110 138 140 156 158
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: 158
Found by: Egon olsen
db: batch=67, k=12, 34 40 28 28 16

SPT(16)	126537108252182533	0 6 34 94 100 118 126 136 138 148 156 174 180 240 268 274	-44413601188
TPT(12)	126537112695887657	0 2 84 86 162 164 192 194 234 236 252 254	-39969896064
TPT(12)	126537120080608751	0 2 48 50 90 92 120 122 126 128 150 152	-32585174970
SPT(14)	126537128241994321	0 42 102 108 118 120 148 150 178 180 190 196 256 298	-24423789400
SPT(14)	126537141086611471	0 28 40 46 60 82 90 298 306 328 342 348 360 388	-11579172250
SPT(14)	126537148258826761	0 18 40 58 88 96 106 162 172 180 210 228 250 268	-4406956960
SPT(14)	126537154085796953	0 14 44 56 80 104 134 156 186 210 234 246 276 290	1420013232
SPT(14)	126537168291200521	0 46 70 72 78 96 100 108 112 130 136 138 162 208	15625416800
SPT(14)	126537172026153961	0 10 30 42 88 100 108 190 198 210 256 268 288 298	19360370240
SPT(14)	126537177116135287	0 6 40 54 76 166 186 190 210 300 322 336 370 376	24450351566
STPT(10)	126537217872696947	0 2 30 32 42 44 54 56 84 86	65206913226