Prime p₀= 928090451155331141 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 70 2 16 2 40 2 76 2 10 2 (?)
a_n: 0 2 96 98 168 170 186 188 228 230 306 308 318 320
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: 320
Found by: crashtech
db: batch=76, k=14, 94 70 16 40 76 10

SPT(16)	928089077449264363	0 54 66 70 78 84 150 174 310 334 400 406 414 418 430 484	-1373706066778
STPT(10)	928089257131832207	0 2 24 26 42 44 60 62 84 86	-1194023498934
STPT(10)	928089550718125331	0 2 6 8 48 50 90 92 96 98	-900437205810
STPT(10)	928089743519536067	0 2 30 32 42 44 54 56 84 86	-707635795074
STPT(10)	928089931507661441	0 2 36 38 78 80 120 122 156 158	-519647669700
SPT(16)	928090079539447117	0 10 16 30 40 42 46 60 82 96 100 102 112 126 132 142	-371615884024
STPT(10)	928090580424545771	0 2 30 32 78 80 126 128 156 158	129269214630
STPT(10)	928090668015310991	0 2 36 38 78 80 120 122 156 158	216859979850
STPT(10)	928090849512338999	0 2 12 14 90 92 168 170 180 182	398357007858
SPT(16)	928091078101893733	0 40 54 70 96 100 118 156 178 216 234 238 264 280 294 334	626946562592
STPT(10)	928091428270489541	0 2 36 38 78 80 120 122 156 158	977115158400