Prime p₀= 276881604577388099 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 34 2 40 2 46 2 28 2 (?)
a_n: 0 2 42 44 78 80 120 122 168 170 198 200
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: 200
Found by: arkiss
db: batch=69, k=12, 40 34 40 46 28

TPT(12)	276881494731112517	0 2 72 74 162 164 180 182 240 242 264 266	-109846275582
SPT(20)	276881523175665383	0 6 8 48 50 96 98 108 140 150 164 174 206 216 218 264 266 306 308 314	-81401722716
SPT(14)	276881531882324899	0 28 52 112 132 160 162 178 180 208 228 288 312 340	-72695063200
SPT(14)	276881549707242383	0 14 66 78 96 126 138 236 248 278 296 308 360 374	-54870145716
SPT(14)	276881570102429459	0 60 62 74 90 104 114 140 150 164 180 192 194 254	-34474958640
SPT(14)	276881588326670381	0 6 8 20 48 66 68 90 92 110 138 150 152 158	-16250717718
SPT(14)	276881639931481969	0 24 30 72 90 102 154 198 250 262 280 322 328 352	35354093870
SPT(14)	276881642471877229	0 22 42 90 94 100 108 124 132 138 142 190 210 232	37894489130
SPT(14)	276881650273843541	0 42 50 62 132 146 216 266 336 350 420 432 440 482	45696455442
SPT(14)	276881652143692669	0 10 30 34 42 94 112 282 300 352 360 364 384 394	47566304570
SPT(14)	276881673706805407	0 6 34 52 70 106 132 214 240 276 294 312 340 346	69129417308