Prime p₀= 7445616271297277 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 28 2 106 2 10 2 4 2 (?)
a_n: 0 2 54 56 84 86 192 194 204 206 210 212
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: crashtech
db: batch=62, k=12, 52 28 106 10 4

SPT(14)	7445563526866709	0 2 32 54 60 72 104 150 182 194 200 222 252 254	-52744430568
SPT(14)	7445563824184261	0 40 42 72 88 100 130 138 168 180 196 226 228 268	-52447113016
SPT(14)	7445565281782921	0 60 100 112 118 132 138 172 178 192 198 210 250 310	-50989514356
TPT(12)	7445568032435591	0 2 90 92 120 122 198 200 246 248 258 260	-48238861686
TPT(12)	7445590419996269	0 2 30 32 60 62 78 80 90 92 132 134	-25851301008
SPT(14)	7445611615568981	0 12 18 60 98 108 110 150 152 162 200 242 248 260	-4655728296
SPT(14)	7445617197182663	0 6 20 30 116 120 168 176 224 228 314 324 338 344	925885386
TPT(12)	7445626764926627	0 2 12 14 30 32 54 56 90 92 114 116	10493629350
SPT(14)	7445628244392577	0 10 24 30 40 70 96 154 180 210 220 226 240 250	11973095300
SPT(16)	7445640435938063	0 36 38 78 84 90 104 108 146 150 164 170 176 216 218 254	24164640786
SPT(14)	7445640887564899	0 4 18 34 48 60 84 94 118 130 144 160 174 178	24616267622