Prime p₀= 1377481318640035727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	1377479901959117777	0 30 36 56 66 86 132 134 162 164 210 230 240 260 266 296	-1416680917950
SPT(16)	1377480049230554807	0 32 96 156 170 186 222 296 306 380 416 432 446 506 570 602	-1269409480920
SPT(16)	1377480650012632987	0 34 64 70 94 96 106 120 196 210 220 222 246 252 282 316	-668627402740
SPT(16)	1377480872846604529	0 24 70 84 148 154 180 190 222 232 258 264 328 342 388 412	-445793431198
SPT(16)	1377480936568273681	0 22 42 58 78 100 138 156 172 190 228 250 270 286 306 328	-382071762046
SPT(16)	1377481112044959479	0 8 18 32 42 90 98 164 228 294 302 350 360 374 384 392	-206595076248
STPT(10)	1377481320674697419	0 2 18 20 30 32 42 44 60 62	2034661692
SPT(16)	1377481442415390049	0 70 90 100 132 184 204 220 222 238 258 310 342 352 372 442	123775354322
STPT(10)	1377481622781362009	0 2 18 20 30 32 42 44 60 62	304141326282
TPT(14)	1377481625826892217	0 2 30 32 60 62 84 86 144 146 240 242 282 284	307186856490
STPT(10)	1377481845175496237	0 2 90 92 102 104 114 116 204 206	526535460510