Prime p₀= 1373967067944516347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: emoga
db: batch=77, k=10, 2 28 2 10 2

TPT(14)	1373965686093491627	0 2 12 14 24 26 42 44 180 182 222 224 234 236	-1381851024720
STPT(10)	1373965930362288761	0 2 36 38 78 80 120 122 156 158	-1137582227586
TPT(14)	1373966437595270009	0 2 30 32 78 80 138 140 150 152 168 170 240 242	-630349246338
SPT(16)	1373966504431763843	0 20 24 56 66 68 104 116 138 150 186 188 198 230 234 254	-563512752504
SPT(16)	1373966742080869177	0 22 24 52 70 126 142 192 244 294 310 366 384 412 414 436	-325863647170
STPT(10)	1373966975688080771	0 2 6 8 48 50 90 92 96 98	-92256435576
TPT(14)	1373967391596806309	0 2 42 44 78 80 120 122 162 164 198 200 240 242	323652289962
STPT(14)	1373967391596806309	0 2 42 44 78 80 120 122 162 164 198 200 240 242	323652289962
STPT(10)	1373967540764548139	0 2 48 50 90 92 132 134 180 182	472820031792
SPT(16)	1373967771840214519	0 28 42 64 90 112 138 154 168 184 210 232 258 280 294 322	703895698172
STPT(10)	1373967849517862507	0 2 30 32 42 44 54 56 84 86	781573346160