Prime p₀= 7439024258262197 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 40 2 28 2 124 2 22 2 (?)
a_n: 0 2 12 14 54 56 84 86 210 212 234 236
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: 236
Found by: crashtech
db: batch=62, k=12, 10 40 28 124 22

SPT(16)	7438964742314593	0 10 34 78 94 108 138 144 154 160 190 204 220 264 288 298	-59515947604
SPT(14)	7438977697650119	0 48 84 90 92 98 108 134 144 150 152 158 194 242	-46560612078
SPT(14)	7438980215847239	0 8 44 78 92 98 104 108 114 120 134 168 204 212	-44042414958
STPT(10)	7438985771522477	0 2 12 14 42 44 72 74 84 86	-38486739720
SPT(14)	7439013538567283	0 30 38 56 96 98 128 138 168 170 210 228 236 266	-10719694914
SPT(14)	7439018623714927	0 12 36 90 100 120 142 144 166 186 196 250 274 286	-5634547270
SPT(14)	7439041290097517	0 14 20 36 86 90 104 156 170 174 224 240 246 260	17031835320
SPT(14)	7439048711483359	0 42 64 88 120 148 154 168 174 202 234 258 280 322	24453221162
SPT(14)	7439050225451791	0 6 88 100 136 150 160 168 178 192 228 240 322 328	25967189594
SPT(14)	7439065471897799	0 24 62 80 90 110 132 182 204 224 234 252 290 314	41213635602
SPT(14)	7439069374838707	0 16 22 30 36 46 64 222 240 250 256 264 270 286	45116576510