Prime p₀= 75500558505545267 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 10 2 64 2 82 2 34 2 (?)
a_n: 0 2 12 14 24 26 90 92 174 176 210 212
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: nenym
db: batch=67, k=12, 10 10 64 82 34

SPT(14)	75500485373443799	0 42 50 62 104 138 144 218 224 258 300 312 320 362	-73132101468
SPT(14)	75500488582555951	0 12 18 52 78 106 148 150 192 220 246 280 286 298	-69922989316
SPT(14)	75500515996350421	0 18 42 78 100 106 120 148 162 168 190 226 250 268	-42509194846
TPT(12)	75500522330276399	0 2 12 14 102 104 180 182 198 200 210 212	-36175268868
SPT(14)	75500551190194379	0 8 12 32 60 68 78 152 162 170 198 218 222 230	-7315350888
SPT(14)	75500557089217747	0 22 34 76 82 90 120 166 196 204 210 252 264 286	-1416327520
SPT(14)	75500563423051219	0 22 24 60 78 82 84 88 90 94 112 148 150 172	4917505952
SPT(14)	75500567671954541	0 2 6 12 48 56 72 86 102 110 146 152 156 158	9166409274
SPT(14)	75500578015623367	0 40 52 66 76 90 112 144 166 180 190 204 216 256	19510078100
SPT(14)	75500578943043697	0 42 126 156 160 186 252 274 340 366 370 400 484 526	20437498430
TPT(12)	75500581939988627	0 2 102 104 120 122 132 134 204 206 240 242	23434443360