Prime p₀= 3020919367915275479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 58 2 16 2 10 2 34 2 (?)
a_n: 0 2 30 32 42 44 102 104 120 122 132 134 168 170
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: 170
Found by: [SG-FC] hl
db: batch=82, k=14, 28 10 58 16 10 34

SPT(16)	3020918686089558901	0 6 10 48 52 58 100 106 162 168 210 216 220 258 262 268	-681825716578
SPT(16)	3020918688595061491	0 58 100 136 142 178 180 196 222 238 240 276 282 318 360 418	-679320213988
SPT(16)	3020918749479719603	0 8 48 60 74 114 158 168 176 186 230 270 284 296 336 344	-618435555876
SPT(16)	3020918867624604473	0 44 50 86 90 114 116 168 206 258 260 284 288 324 330 374	-500290671006
SPT(16)	3020918935655305067	0 12 26 92 110 120 140 152 174 186 206 216 234 300 314 326	-432259970412
SPT(16)	3020919149016685061	0 18 32 36 48 60 62 78 80 96 98 110 122 126 140 158	-218898590418
SPT(16)	3020919853868716633	0 4 16 18 94 120 138 166 168 196 214 240 316 318 330 334	485953441154
SPT(16)	3020920295673383837	0 6 12 30 44 126 140 152 174 186 200 282 296 314 320 326	927758108358
SPT(16)	3020920535648925373	0 34 46 58 76 114 120 148 156 184 190 228 246 258 270 304	1167733649894
SPT(16)	3020920739848492499	0 18 32 42 72 120 128 140 162 174 182 230 260 270 284 302	1371933217020
STPT(10)	3020920750266459587	0 2 30 32 42 44 54 56 84 86	1382351184108