Prime p₀= 729362552277349811 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	729361333302934847	0 50 54 56 110 114 116 126 170 180 182 186 240 242 246 296	-1218974414964
STPT(10)	729361722957936119	0 2 18 20 60 62 102 104 120 122	-829319413692
SPT(16)	729361771249488193	0 4 36 60 64 70 88 144 190 246 264 270 274 298 330 334	-781027861618
STPT(10)	729361810220249021	0 2 6 8 48 50 90 92 96 98	-742057100790
SPT(16)	729362136152732359	0 4 34 72 82 138 154 160 222 228 244 300 310 348 378 382	-416124617452
STPT(10)	729362500231183451	0 2 6 8 48 50 90 92 96 98	-52046166360
STPT(10)	729363024115396997	0 2 42 44 72 74 102 104 144 146	471838047186
STPT(10)	729363144209212727	0 2 30 32 42 44 54 56 84 86	591931862916
STPT(10)	729363306189247151	0 2 36 38 78 80 120 122 156 158	753911897340
TPT(14)	729363328605988001	0 2 6 8 48 50 78 80 156 158 210 212 228 230	776328638190
SPT(16)	729363736730374903	0 16 100 106 120 154 196 216 268 288 330 364 378 384 468 484	1184453025092