Prime p₀= 3011427574050939077 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 10 2 28 2 28 2 34 2 (?)
a_n: 0 2 12 14 72 74 84 86 114 116 144 146 180 182
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: 182
Found by: conf [MM]
db: batch=82, k=14, 10 58 10 28 28 34

SPT(16)	3011425648601406119	0 20 24 48 108 110 144 150 182 188 222 224 284 308 312 332	-1925449532958
STPT(10)	3011425751326054187	0 2 30 32 72 74 114 116 144 146	-1822724884890
TPT(14)	3011426246683700381	0 2 30 32 96 98 156 158 180 182 198 200 228 230	-1327367238696
STPT(10)	3011426592818358467	0 2 30 32 42 44 54 56 84 86	-981232580610
STPT(10)	3011427238390536521	0 2 6 8 48 50 90 92 96 98	-335660402556
SPT(16)	3011427469952033837	0 42 90 92 104 110 144 152 174 182 216 222 234 236 284 326	-104098905240
STPT(10)	3011427822553173731	0 2 36 38 78 80 120 122 156 158	248502234654
SPT(16)	3011428347187101671	0 26 42 56 92 140 146 152 156 162 168 216 252 266 282 308	773136162594
SPT(16)	3011428360814317291	0 12 22 30 42 58 106 130 138 162 210 226 238 246 256 268	786763378214
SPT(16)	3011428879899327007	0 4 30 52 60 66 150 162 214 226 310 316 324 346 372 376	1305848387930
STPT(10)	3011429141167332167	0 2 42 44 72 74 102 104 144 146	1567116393090