Prime p₀= 573885888633138377 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 82 2 154 2 22 2 16 2 (?)
a_n: 0 2 30 32 114 116 270 272 294 296 312 314
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: paulteo
db: batch=71, k=12, 28 82 154 22 16

SPT(14)	573885834868606151	0 2 20 38 90 108 128 132 152 170 222 240 258 260	-53764532226
SPT(14)	573885853867909277	0 6 60 80 84 90 92 114 116 122 126 146 200 206	-34765229100
SPT(14)	573885855573207271	0 42 142 160 240 250 300 358 408 418 498 516 616 658	-33059931106
SPT(14)	573885855616365749	0 32 74 200 224 252 270 272 290 318 342 468 510 542	-33016772628
TPT(12)	573885870284290217	0 2 12 14 54 56 222 224 234 236 390 392	-18348848160
SPT(14)	573885877406845331	0 18 26 56 102 122 150 158 186 206 252 282 290 308	-11226293046
SPT(14)	573885911272768441	0 6 22 40 58 118 132 196 210 270 288 306 322 328	22639630064
SPT(14)	573885911297688599	0 8 42 102 108 114 120 122 128 134 140 200 234 242	22664550222
TPT(12)	573885913568397929	0 2 48 50 72 74 78 80 90 92 168 170	24935259552
SPT(14)	573885914453657341	0 18 90 100 130 132 156 172 196 198 228 238 310 328	25820518964
SPT(14)	573885914709987029	0 2 14 80 90 132 150 152 170 212 222 288 300 302	26076848652