Prime p₀= 1079527940862400187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 40 2 16 2 22 2 16 2 (?)
a_n: 0 2 12 14 30 32 72 74 90 92 114 116 132 134
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: 134
Found by: Daniel
db: batch=76, k=14, 10 16 40 16 22 16

SPT(16)	1079526512355119579	0 14 60 72 84 114 132 150 164 182 200 230 242 254 300 314	-1428507280608
STPT(10)	1079526590654192687	0 2 30 32 42 44 54 56 84 86	-1350208207500
SPT(16)	1079526652856668013	0 8 18 48 60 110 126 156 200 230 246 296 308 338 348 356	-1288005732174
SPT(16)	1079526915485123323	0 10 60 70 78 88 108 126 190 208 228 238 246 256 306 316	-1025377276864
STPT(10)	1079527427550457979	0 2 18 20 30 32 42 44 60 62	-513311942208
SPT(16)	1079527876169654311	0 30 52 58 82 138 156 196 222 262 280 336 360 366 388 418	-64692745876
SPT(16)	1079528230758441421	0 6 18 100 112 136 150 156 172 178 192 216 228 310 322 328	289896041234
SPT(16)	1079528341946175487	0 6 106 132 192 196 202 216 220 234 240 244 304 330 430 436	401083775300
STPT(10)	1079529250529726597	0 2 30 32 42 44 54 56 84 86	1309667326410
STPT(10)	1079529321423019079	0 2 18 20 30 32 42 44 60 62	1380560618892
SPT(16)	1079529603549493699	0 18 58 84 144 148 168 198 220 250 270 274 334 360 400 418	1662687093512