Prime p₀= 3011426246683700381 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 58 2 22 2 16 2 28 2 (?)
a_n: 0 2 30 32 96 98 156 158 180 182 198 200 228 230
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 230
Found by: hase
db: batch=82, k=14, 28 64 58 22 16 28

SPT(16)	3011424493728283691	0 2 78 116 146 170 212 218 240 246 288 312 342 380 456 458	-1752955416690
SPT(16)	3011424944705998883	0 18 24 98 104 164 216 240 284 308 360 420 426 500 506 524	-1301977701498
SPT(16)	3011425013932965703	0 10 34 36 66 76 84 106 168 190 198 208 238 240 264 274	-1232750734678
TPT(14)	3011425223482538957	0 2 12 14 54 56 90 92 120 122 132 134 150 152	-1023201161424
SPT(16)	3011425648601406119	0 20 24 48 108 110 144 150 182 188 222 224 284 308 312 332	-598082294262
STPT(10)	3011425751326054187	0 2 30 32 72 74 114 116 144 146	-495357646194
STPT(10)	3011426592818358467	0 2 30 32 42 44 54 56 84 86	346134658086
STPT(10)	3011427238390536521	0 2 6 8 48 50 90 92 96 98	991706836140
SPT(16)	3011427469952033837	0 42 90 92 104 110 144 152 174 182 216 222 234 236 284 326	1223268333456
TPT(14)	3011427574050939077	0 2 12 14 72 74 84 86 114 116 144 146 180 182	1327367238696
STPT(10)	3011427822553173731	0 2 36 38 78 80 120 122 156 158	1575869473350