Prime p₀= 5537410444496657 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 16 2 28 2 106 2 28 2 (?)
a_n: 0 2 24 26 42 44 72 74 180 182 210 212
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: Egon olsen
db: batch=62, k=12, 22 16 28 106 28

STPT(10)	5537346658811321	0 2 6 8 48 50 90 92 96 98	-63785685336
TPT(14)	5537349656879021	0 2 36 38 120 122 210 212 246 248 258 260 288 290	-60787617636
SPT(14)	5537355174378479	0 2 8 12 50 72 90 92 110 132 170 174 180 182	-55270118178
STPT(10)	5537358850923857	0 2 42 44 72 74 102 104 144 146	-51593572800
SPT(14)	5537367498005501	0 120 156 182 210 222 300 308 386 398 426 452 488 608	-42946491156
SPT(14)	5537380905795617	0 6 14 50 60 90 104 132 146 176 186 222 230 236	-29538701040
SPT(14)	5537431336591093	0 24 36 46 66 70 76 78 84 88 108 118 130 154	20892094436
SPT(14)	5537437757951959	0 28 34 40 58 82 84 88 90 114 132 138 144 172	27313455302
SPT(14)	5537439299528629	0 54 58 94 100 114 124 138 148 162 168 204 208 262	28855031972
TPT(12)	5537439479905601	0 2 6 8 78 80 90 92 156 158 168 170	29035408944
SPT(14)	5537443402585811	0 30 68 72 78 90 92 168 170 182 188 192 230 260	32958089154