Prime p₀= 2640121022185019 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 70 2 76 2 58 2 28 2 (?)
a_n: 0 2 18 20 90 92 168 170 228 230 258 260
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: 260
Found by: 4ys
db: batch=61, k=12, 16 70 76 58 28

SPT(14)	2640089137363193	0 14 20 26 48 68 90 104 126 146 168 174 180 194	-31884821826
SPT(14)	2640103000558747	0 10 40 100 106 142 150 196 204 240 246 306 336 346	-18021626272
SPT(14)	2640103713333623	0 8 38 56 66 78 80 144 146 158 168 186 216 224	-17308851396
SPT(14)	2640112086754267	0 12 16 34 46 60 124 132 196 210 222 240 244 256	-8935430752
SPT(14)	2640115106194117	0 16 60 70 90 94 100 126 132 136 156 166 210 226	-5915990902
SPT(14)	2640117020752031	0 6 8 36 62 72 86 132 146 156 182 210 212 218	-4001432988
SPT(14)	2640123503787751	0 36 42 46 70 90 112 126 148 168 192 196 202 238	2481602732
SPT(16)	2640138520272677	0 2 12 14 30 32 54 56 90 92 114 116 132 134 144 146	17498087658
TPT(16)	2640138520272677	0 2 12 14 30 32 54 56 90 92 114 116 132 134 144 146	17498087658
STPT(16)	2640138520272677	0 2 12 14 30 32 54 56 90 92 114 116 132 134 144 146	17498087658
SPT(14)	2640140225961239	0 30 42 60 92 110 128 192 210 228 260 278 290 320	19203776220