Prime p₀= 79341624808411247 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 16 2 22 2 16 2 16 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 120 122
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: 122
Found by: Ralfy
db: batch=67, k=12, 40 16 22 16 16

TPT(12)	79341526632285527	0 2 30 32 54 56 120 122 192 194 240 242	-98176125720
SPT(14)	79341531305259823	0 40 88 90 138 150 238 270 358 370 418 420 468 508	-93503151424
SPT(14)	79341531878201123	0 26 66 108 116 150 168 248 266 300 308 350 390 416	-92930210124
SPT(14)	79341560243233627	0 10 22 66 106 126 132 184 190 210 250 294 306 316	-64565177620
SPT(16)	79341569056412251	0 12 46 58 70 78 88 102 106 120 130 138 150 162 196 208	-55751998996
SPT(14)	79341604043866907	0 12 26 32 74 156 224 282 350 432 474 480 494 506	-20764544340
SPT(14)	79341652295205481	0 48 58 102 132 150 178 192 220 238 268 312 322 370	27486794234
SPT(14)	79341657086393921	0 18 20 60 90 140 218 240 318 368 398 438 440 458	32277982674
SPT(14)	79341702129511061	0 48 62 126 128 168 186 242 260 300 302 366 380 428	77321099814
SPT(14)	79341743430747191	0 20 30 38 66 80 108 140 168 182 210 218 228 248	118622335944
SPT(14)	79341795458957809	0 12 18 40 60 88 100 192 204 232 252 274 280 292	170650546562