Prime p₀= 11449845000171047 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 118 2 10 2 28 2 58 2 (?)
a_n: 0 2 30 32 150 152 162 164 192 194 252 254
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: 254
Found by: crashtech
db: batch=62, k=12, 28 118 10 28 58

SPT(14)	11449791105429587	0 36 80 122 126 210 212 240 242 326 330 372 416 452	-53894741460
SPT(14)	11449799519972059	0 22 42 72 82 108 112 138 142 168 178 208 228 250	-45480198988
SPT(14)	11449802538082451	0 8 32 86 116 152 158 180 186 222 252 306 330 338	-42462088596
STPT(10)	11449819967395919	0 2 48 50 90 92 132 134 180 182	-25032775128
SPT(14)	11449833560001689	0 20 42 72 74 80 132 182 234 240 242 272 294 314	-11440169358
SPT(14)	11449838723843413	0 24 36 54 64 76 88 126 138 150 160 178 190 214	-6276327634
SPT(14)	11449846784904709	0 30 54 58 60 88 100 168 180 208 210 214 238 268	1784733662
SPT(16)	11449852023817003	0 4 18 30 40 46 58 70 84 96 108 114 124 136 150 154	7023645956
STPT(10)	11449855028626361	0 2 6 8 48 50 90 92 96 98	10028455314
SPT(14)	11449856743718191	0 10 30 52 96 100 102 106 108 112 156 178 198 208	11743547144
SPT(14)	11449856807729009	0 18 20 48 68 102 104 138 140 174 194 222 224 242	11807557962