Prime p₀= 2625186787444438181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 34 2 58 2 28 2 22 2 (?)
a_n: 0 2 18 20 30 32 66 68 126 128 156 158 180 182
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: Dirk Broer
db: batch=82, k=14, 16 10 34 58 28 22

TPT(14)	2625186181956603779	0 2 90 92 138 140 192 194 222 224 258 260 330 332	-605487834402
STPT(10)	2625186350160509501	0 2 36 38 78 80 120 122 156 158	-437283928680
STPT(10)	2625186385659761447	0 2 30 32 42 44 54 56 84 86	-401784676734
STPT(10)	2625186449960108987	0 2 30 32 42 44 54 56 84 86	-337484329194
SPT(16)	2625186560670179197	0 42 52 66 70 72 90 96 130 136 154 156 160 174 184 226	-226774258984
STPT(10)	2625186571729573739	0 2 18 20 30 32 42 44 60 62	-215714864442
TPT(14)	2625186961160058287	0 2 42 44 54 56 114 116 144 146 180 182 192 194	173715620106
SPT(16)	2625187167204034423	0 18 40 78 84 96 118 138 196 216 238 250 256 294 316 334	379759596242
TPT(14)	2625187175876468249	0 2 12 14 60 62 90 92 138 140 180 182 198 200	388432030068
SPT(16)	2625187180016014699	0 4 10 24 40 60 88 94 138 144 172 192 208 222 228 232	392571576518
SPT(16)	2625187266658570391	0 26 32 42 72 92 96 162 176 242 246 266 296 306 312 338	479214132210