Prime p₀= 1373967391596806309 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 40 2 34 2 40 2 40 2 34 2 40 2 (?)
a_n: 0 2 42 44 78 80 120 122 162 164 198 200 240 242
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: 242
Found by: emoga
db: batch=77, k=14, 2 40 2 34 2 40 2

STPT(10)	1373965930362288761	0 2 36 38 78 80 120 122 156 158	-1461234517548
TPT(14)	1373966437595270009	0 2 30 32 78 80 138 140 150 152 168 170 240 242	-954001536300
SPT(16)	1373966504431763843	0 20 24 56 66 68 104 116 138 150 186 188 198 230 234 254	-887165042466
SPT(16)	1373966742080869177	0 22 24 52 70 126 142 192 244 294 310 366 384 412 414 436	-649515937132
STPT(10)	1373966975688080771	0 2 6 8 48 50 90 92 96 98	-415908725538
STPT(10)	1373967067944516347	0 2 30 32 42 44 54 56 84 86	-323652289962
TPT(14)	1373967391596806309	0 2 42 44 78 80 120 122 162 164 198 200 240 242	0
STPT(10)	1373967540764548139	0 2 48 50 90 92 132 134 180 182	149167741830
SPT(16)	1373967771840214519	0 28 42 64 90 112 138 154 168 184 210 232 258 280 294 322	380243408210
STPT(10)	1373967849517862507	0 2 30 32 42 44 54 56 84 86	457921056198
STPT(10)	1373967870224219117	0 2 12 14 42 44 72 74 84 86	478627412808