Prime p₀= 276880084841415509 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 136 2 208 2 28 2 130 2 (?)
a_n: 0 2 60 62 198 200 408 410 438 440 570 572
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: 572
Found by: arkiss
db: batch=69, k=12, 58 136 208 28 130

SPT(14)	276880014106981963	0 6 58 60 96 124 198 226 300 328 364 366 418 424	-70734433546
SPT(14)	276880018002814729	0 12 40 70 84 90 114 178 202 208 222 252 280 292	-66838600780
SPT(14)	276880057025008517	0 12 62 110 126 146 164 222 240 260 276 324 374 386	-27816406992
TPT(12)	276880058597801207	0 2 90 92 150 152 264 266 390 392 444 446	-26243614302
SPT(14)	276880064993178341	0 102 126 156 182 186 188 210 212 216 242 272 296 398	-19848237168
SPT(14)	276880074731437817	0 30 56 84 92 110 156 230 276 294 302 330 356 386	-10109977692
STPT(10)	276880123013912837	0 2 12 14 42 44 72 74 84 86	38172497328
SPT(14)	276880157669430571	0 16 70 72 76 138 156 172 190 252 256 258 312 328	72828015062
SPT(14)	276880166266815289	0 34 84 90 94 148 162 280 294 348 352 358 408 442	81425399780
TPT(12)	276880178345296661	0 2 36 38 48 50 78 80 126 128 210 212	93503881152
TPT(12)	276880180005842291	0 2 30 32 60 62 90 92 138 140 168 170	95164426782