Prime p₀= 2183545817438147801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 64 2 82 2 28 2 28 2 (?)
a_n: 0 2 6 8 90 92 156 158 240 242 270 272 300 302
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: 302
Found by: ginga
db: batch=81, k=14, 4 82 64 82 28 28

STPT(10)	2183544522900521549	0 2 18 20 30 32 42 44 60 62	-1294537626252
SPT(16)	2183545320895486021	0 60 66 88 118 126 172 192 196 216 262 270 300 322 328 388	-496542661780
SPT(16)	2183545532866834921	0 16 42 70 72 100 130 136 156 162 192 220 222 250 276 292	-284571312880
SPT(16)	2183545549189401641	0 18 56 102 150 156 158 168 170 180 182 188 236 282 320 338	-268248746160
TPT(14)	2183545565591573747	0 2 42 44 90 92 102 104 174 176 222 224 324 326	-251846574054
STPT(10)	2183545797497433539	0 2 18 20 30 32 42 44 60 62	-19940714262
SPT(16)	2183545908604093991	0 2 42 60 68 80 116 128 180 192 228 240 248 266 306 308	91165946190
SPT(16)	2183546707930419347	0 42 54 80 92 110 140 150 164 174 204 222 234 260 272 314	890492271546
SPT(16)	2183546709448388617	0 12 16 36 42 46 72 76 126 130 156 160 166 186 190 202	892010240816
STPT(10)	2183546734385305031	0 2 78 80 138 140 198 200 276 278	916947157230
SPT(16)	2183546790348281681	0 42 86 96 110 116 156 168 170 182 222 228 242 252 296 338	972910133880