Prime p₀= 44421265423753961 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 34 2 28 2 52 2 58 2 (?)
a_n: 0 2 30 32 66 68 96 98 150 152 210 212
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: 212
Found by: stoneageman
db: batch=65, k=12, 28 34 28 52 58

TPT(12)	44421239696262641	0 2 18 20 78 80 156 158 210 212 240 242	-25727491320
SPT(14)	44421243475561049	0 12 18 38 54 60 74 108 122 128 144 164 170 182	-21948192912
SPT(14)	44421247519483223	0 50 54 90 120 134 140 168 174 188 218 254 258 308	-17904270738
TPT(12)	44421259458041771	0 2 6 8 48 50 90 92 126 128 180 182	-5965712190
SPT(14)	44421261717246979	0 22 42 82 90 108 160 180 232 250 258 298 318 340	-3706506982
SPT(14)	44421263555851771	0 28 52 66 70 72 112 186 226 228 232 246 270 298	-1867902190
SPT(14)	44421292360715909	0 38 48 80 92 174 192 200 218 300 312 344 354 392	26936961948
SPT(14)	44421312852383413	0 24 94 168 198 214 244 270 300 316 346 420 490 514	47428629452
SPT(14)	44421315685788421	0 6 22 46 72 106 130 132 156 190 216 240 256 262	50262034460
SPT(14)	44421321099674999	0 8 42 90 98 120 134 138 152 174 182 230 264 272	55675921038
TPT(12)	44421346482416117	0 2 54 56 90 92 222 224 294 296 300 302	81058662156