Prime p₀= 293050991013049457 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 190 2 16 2 10 2 16 2 70 2 (?)
a_n: 0 2 192 194 210 212 222 224 240 242 312 314
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: 314
Found by: vinn@[CNT]
db: batch=69, k=12, 190 16 10 16 70

SPT(14)	293050899045321751	0 6 12 48 88 102 130 168 196 210 250 286 292 298	-91967727706
SPT(16)	293050917861457891	0 70 78 90 100 126 136 186 202 252 262 288 298 310 318 388	-73151591566
SPT(14)	293050936515122759	0 12 18 32 80 108 150 212 254 282 330 344 350 362	-54497926698
TPT(12)	293050952290418237	0 2 12 14 42 44 60 62 84 86 102 104	-38722631220
SPT(14)	293050953846411797	0 2 12 14 44 80 116 150 186 222 252 254 264 266	-37166637660
SPT(14)	293050959363671177	0 30 50 54 110 140 144 170 174 204 260 264 284 314	-31649378280
SPT(14)	293051002375694723	0 6 56 90 96 114 116 138 140 158 164 198 248 254	11362645266
SPT(14)	293051013953832073	0 4 58 70 90 108 114 130 136 154 174 186 240 244	22940782616
SPT(14)	293051038267149521	0 30 38 56 62 72 108 230 266 276 282 300 308 338	47254100064
SPT(14)	293051047021545601	0 22 42 66 118 148 150 178 180 210 262 286 306 328	56008496144
SPT(14)	293051049181087063	0 60 136 196 198 220 240 256 276 298 300 360 436 496	58168037606