Prime p₀= 3741365609961137 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 12 14 30 32 72 74 114 116 132 134
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: 4ys
db: batch=61, k=12, 10 16 40 40 16

SPT(14)	3741330787735127	0 2 12 72 164 192 236 270 314 342 434 494 504 506	-34822226010
TPT(12)	3741332207003687	0 2 30 32 72 74 90 92 114 116 174 176	-33402957450
SPT(14)	3741334295893541	0 6 32 48 50 78 86 102 110 138 140 156 182 188	-31314067596
SPT(14)	3741347593038023	0 26 78 80 108 146 150 206 210 248 276 278 330 356	-18016923114
SPT(14)	3741351868214041	0 6 28 58 78 100 118 168 186 208 228 258 280 286	-13741747096
TPT(12)	3741352074837857	0 2 42 44 60 62 72 74 84 86 132 134	-13535123280
STPT(10)	3741365609961149	0 2 18 20 60 62 102 104 120 122	12
STPT(10)	3741366354693437	0 2 30 32 42 44 54 56 84 86	744732300
SPT(14)	3741371669460701	0 6 12 56 108 122 132 146 156 170 222 266 272 278	6059499564
SPT(14)	3741372617476289	0 38 102 108 132 168 188 222 242 278 302 308 372 410	7007515152
SPT(14)	3741373877280041	0 36 60 78 80 120 140 168 188 228 230 248 272 308	8267318904