Prime p₀= 1365003796704921557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: stoneageman
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1365001971719739137	0 14 24 80 114 162 204 246 290 332 374 422 456 512 522 536	-1824985182420
SPT(16)	1365001992506578891	0 10 12 78 82 148 150 192 196 238 240 306 310 376 378 388	-1804198342666
SPT(16)	1365002296852113341	0 2 8 36 38 78 90 116 132 158 170 210 212 240 246 248	-1499852808216
STPT(10)	1365002698555142789	0 2 18 20 30 32 42 44 60 62	-1098149778768
TPT(14)	1365003040464900671	0 2 6 8 18 20 30 32 48 50 240 242 258 260	-756240020886
SPT(16)	1365003081992379211	0 42 48 82 120 130 142 148 180 186 198 208 246 280 286 328	-714712542346
STPT(10)	1365003840899236607	0 2 24 26 42 44 60 62 84 86	44194315050
SPT(16)	1365003856589258929	0 42 72 108 124 130 150 154 168 172 192 198 214 250 280 322	59884337372
SPT(16)	1365004314625812097	0 40 96 102 142 186 196 216 220 240 250 294 334 340 396 436	517920890540
SPT(16)	1365004767418468643	0 20 24 56 60 98 104 108 176 180 186 224 228 260 264 284	970713547086
TPT(14)	1365005120501883569	0 2 42 44 60 62 102 104 120 122 198 200 252 254	1323796962012