Prime p₀= 1120927474674728801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 124 2 28 2 28 2 22 2 (?)
a_n: 0 2 78 80 90 92 216 218 246 248 276 278 300 302
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: Theadalus
db: batch=76, k=14, 76 10 124 28 28 22

SPT(16)	1120926059722648453	0 4 28 54 58 60 70 88 96 114 124 126 130 156 180 184	-1414952080348
SPT(16)	1120926196975401787	0 22 24 34 40 90 106 112 144 150 166 216 222 232 234 256	-1277699327014
STPT(10)	1120926239755169537	0 2 30 32 42 44 54 56 84 86	-1234919559264
STPT(12)	1120926420957488051	0 2 30 32 90 92 96 98 156 158 186 188	-1053717240750
SPT(16)	1120926513250357763	0 60 120 126 200 224 230 306 314 390 396 420 494 500 560 620	-961424371038
STPT(10)	1120926569408916209	0 2 18 20 30 32 42 44 60 62	-905265812592
TPT(14)	1120927630915444787	0 2 42 44 54 56 114 116 162 164 204 206 372 374	156240715986
STPT(10)	1120927766618834219	0 2 48 50 90 92 132 134 180 182	291944105418
STPT(10)	1120927843369499531	0 2 36 38 78 80 120 122 156 158	368694770730
STPT(10)	1120928145281886839	0 2 18 20 60 62 102 104 120 122	670607158038
SPT(16)	1120928187100113809	0 98 102 120 134 170 180 212 270 302 312 348 362 380 384 482	712425385008