Prime p₀= 3744757442623427 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 16 2 16 2 40 2 46 2 (?)
a_n: 0 2 24 26 42 44 60 62 102 104 150 152
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: 152
Found by: Lazarus-uk
db: batch=61, k=12, 22 16 16 40 46

SPT(14)	3744702977473177	0 66 76 82 126 174 196 240 262 310 354 360 370 436	-54465150250
SPT(16)	3744711641586131	0 2 12 98 138 198 222 248 270 296 320 380 420 506 516 518	-45801037296
SPT(14)	3744714243830279	0 2 24 38 48 54 68 84 98 104 114 128 150 152	-43198793148
TPT(12)	3744715884055787	0 2 90 92 102 104 144 146 180 182 240 242	-41558567640
SPT(14)	3744726200630869	0 24 42 82 108 142 150 172 180 214 240 280 298 322	-31241992558
SPT(14)	3744750642398119	0 18 22 28 58 78 90 100 112 132 162 168 172 190	-6800225308
SPT(14)	3744758695293757	0 30 36 60 64 84 96 130 142 162 166 190 196 226	1252670330
SPT(14)	3744762194237947	0 22 46 70 100 106 126 310 330 336 366 390 414 436	4751614520
SPT(14)	3744766365176051	0 18 20 42 62 66 68 90 92 96 116 138 140 158	8922552624
SPT(14)	3744772638379301	0 6 18 20 26 48 92 96 140 162 168 170 182 188	15195755874
SPT(14)	3744781777303417	0 36 42 54 82 96 132 154 190 204 232 244 250 286	24334679990