Prime p₀= 11450339830213511 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 70 2 28 2 136 2 40 2 (?)
a_n: 0 2 36 38 108 110 138 140 276 278 318 320
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: 320
Found by: crashtech
db: batch=62, k=12, 34 70 28 136 40

SPT(14)	11450301732015007	0 4 16 46 70 120 154 156 190 240 264 294 306 310	-38098198504
SPT(14)	11450301984294727	0 12 22 42 54 64 66 100 102 112 124 144 154 166	-37845918784
SPT(14)	11450304947575873	0 40 78 108 120 126 150 166 190 196 208 238 276 316	-34882637638
SPT(14)	11450311351616273	0 26 36 50 96 104 140 174 210 218 264 278 288 314	-28478597238
TPT(12)	11450319694706897	0 2 12 14 90 92 114 116 132 134 144 146	-20135506614
TPT(12)	11450332950524561	0 2 78 80 90 92 120 122 228 230 300 302	-6879688950
SPT(14)	11450340425717059	0 60 72 94 114 138 150 172 184 208 228 250 262 322	595503548
SPT(14)	11450344355136493	0 10 16 30 36 58 100 114 156 178 184 198 204 214	4524922982
TPT(12)	11450351965310801	0 2 168 170 180 182 228 230 240 242 270 272	12135097290
SPT(14)	11450363557425781	0 6 10 18 28 88 102 226 240 300 310 318 322 328	23727212270
SPT(14)	11450368441284187	0 10 34 64 70 76 90 136 150 156 162 192 216 226	28611070676