Prime p₀= 1977131368185883157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 16 2 22 2 34 2 40 2 (?)
a_n: 0 2 42 44 132 134 150 152 174 176 210 212 252 254
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: 254
Found by: Orange Kid
db: batch=80, k=14, 40 88 16 22 34 40

SPT(16)	1977129369885320821	0 18 58 102 106 108 130 156 232 258 280 282 286 330 370 388	-1998300562336
TPT(14)	1977129611460502781	0 2 36 38 168 170 258 260 270 272 330 332 408 410	-1756725380376
SPT(16)	1977130275538623941	0 26 36 50 66 68 98 102 116 120 150 152 168 182 192 218	-1092647259216
STPT(10)	1977130420472353589	0 2 42 44 60 62 78 80 120 122	-947713529568
SPT(16)	1977130944015812021	0 12 20 50 92 126 132 138 170 176 182 216 258 288 296 308	-424170071136
STPT(10)	1977130963747846607	0 2 30 32 42 44 54 56 84 86	-404438036550
STPT(10)	1977131508363523607	0 2 30 32 42 44 54 56 84 86	140177640450
SPT(16)	1977132049065117743	0 24 68 78 80 96 116 126 278 288 308 324 326 336 380 404	680879234586
TPT(14)	1977132223711997369	0 2 12 14 42 44 78 80 90 92 108 110 120 122	855526114212
TPT(14)	1977132966419981129	0 2 48 50 60 62 138 140 270 272 300 302 342 344	1598234097972
SPT(16)	1977133243374887503	0 6 10 24 34 36 66 70 120 124 154 156 166 180 184 190	1875189004346