Prime p₀= 1337419948111668737 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: BlackGoose05
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1337418653066367551	0 26 56 92 140 158 170 242 246 318 330 348 396 432 462 488	-1295045301186
SPT(16)	1337418673739997559	0 12 34 42 64 78 138 148 174 184 244 258 280 288 310 322	-1274371671178
SPT(16)	1337418688739511067	0 42 76 82 84 100 126 130 156 160 186 202 204 210 244 286	-1259372157670
STPT(10)	1337419522862382929	0 2 12 14 30 32 48 50 60 62	-425249285808
STPT(10)	1337419673961603569	0 2 42 44 120 122 198 200 240 242	-274150065168
STPT(10)	1337419926490727249	0 2 42 44 60 62 78 80 120 122	-21620941488
SPT(16)	1337420638466701807	0 22 30 40 42 54 64 90 106 132 142 154 156 166 174 196	690355033070
SPT(16)	1337420653797335687	0 12 24 32 56 66 114 140 156 182 230 240 264 272 284 296	705685666950
SPT(16)	1337420701573277443	0 16 48 114 124 178 184 240 244 300 306 360 370 436 468 484	753461608706
SPT(16)	1337420718899269183	0 46 58 70 138 186 208 286 378 456 478 526 594 606 618 664	770787600446
SPT(16)	1337420839715069587	0 10 30 84 136 186 196 240 256 300 310 360 412 466 486 496	891603400850