Prime p₀= 768045340890322211 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 28 2 22 2 4 2 22 2 (?)
a_n: 0 2 6 8 36 38 66 68 90 92 96 98 120 122
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: 122
Found by: marsinph
db: batch=73, k=14, 4 28 28 22 4 22

STPT(10)	768044467885615757	0 2 12 14 72 74 132 134 144 146	-873004706454
SPT(16)	768044551826266471	0 28 40 58 72 78 82 96 172 186 190 196 210 228 240 268	-789064055740
STPT(10)	768044595191936339	0 2 12 14 90 92 168 170 180 182	-745698385872
STPT(10)	768044993886277271	0 2 66 68 108 110 150 152 216 218	-347004044940
STPT(10)	768045066481919921	0 2 30 32 78 80 126 128 156 158	-274408402290
SPT(16)	768045173509093867	0 4 6 34 60 70 126 142 144 160 216 226 252 280 282 286	-167381228344
STPT(10)	768045386077088027	0 2 30 32 42 44 54 56 84 86	45186765816
SPT(16)	768045897231516089	0 2 14 50 92 104 110 114 158 162 168 180 222 258 270 272	556341193878
STPT(10)	768046047930890549	0 2 42 44 60 62 78 80 120 122	707040568338
SPT(16)	768046136237666527	0 36 40 42 66 72 96 126 220 250 274 280 304 306 310 346	795347344316
STPT(10)	768046204044991967	0 2 30 32 42 44 54 56 84 86	863154669756