Prime p₀= 2034993786723301211 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 16 2 52 2 124 2 112 2 (?)
a_n: 0 2 36 38 78 80 96 98 150 152 276 278 390 392
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: 392
Found by: Dingo
db: batch=80, k=14, 34 40 16 52 124 112

SPT(16)	2034992119729497091	0 22 30 36 48 72 78 118 150 190 196 220 232 238 246 268	-1666993804120
SPT(16)	2034992470125794351	0 2 20 30 56 72 120 132 176 188 236 252 278 288 306 308	-1316597506860
SPT(16)	2034992726486645369	0 120 138 152 182 204 218 248 294 324 338 360 390 404 422 542	-1060236655842
TPT(14)	2034992731688267807	0 2 42 44 150 152 162 164 234 236 264 266 294 296	-1055035033404
TPT(14)	2034993118431157901	0 2 18 20 78 80 156 158 210 212 240 242 288 290	-668292143310
SPT(16)	2034993214104143743	0 58 60 76 88 90 108 118 126 136 154 156 168 184 186 244	-572619157468
SPT(16)	2034993892268424431	0 2 26 32 56 86 92 120 158 186 192 222 246 252 276 278	105545123220
STPT(10)	2034994154679827657	0 2 30 32 42 44 54 56 84 86	367956526446
SPT(16)	2034994296995650021	0 28 30 78 120 136 232 250 318 336 432 448 490 538 540 568	510272348810
STPT(10)	2034994394029358759	0 2 48 50 90 92 132 134 180 182	607306057548
STPT(10)	2034994600143599189	0 2 18 20 30 32 42 44 60 62	813420297978