Prime p₀= 2384990993645861969 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: kashi
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2384989687128903307	0 12 90 96 102 112 124 154 192 222 234 244 250 256 334 346	-1306516958662
SPT(16)	2384989723503414007	0 36 96 100 102 120 142 166 186 210 232 250 252 256 316 352	-1270142447962
STPT(10)	2384990278373277329	0 2 18 20 30 32 42 44 60 62	-715272584640
STPT(10)	2384990303253407489	0 2 12 14 90 92 168 170 180 182	-690392454480
STPT(10)	2384990326703577947	0 2 54 56 72 74 90 92 144 146	-666942284022
STPT(10)	2384990799304733507	0 2 30 32 42 44 54 56 84 86	-194341128462
SPT(16)	2384991685205902561	0 12 46 60 96 130 148 162 196 210 228 262 298 312 346 358	691560040592
STPT(10)	2384991981365927579	0 2 48 50 60 62 72 74 120 122	987720065610
STPT(10)	2384992465843751579	0 2 12 14 30 32 48 50 60 62	1472197889610
SPT(16)	2384992880489874631	0 28 30 58 72 82 106 120 148 162 186 196 210 238 240 268	1886844012662
SPT(16)	2384993057421049549	0 40 60 78 130 168 190 222 238 270 292 330 382 400 420 460	2063775187580