Prime p₀= 2165058121871101979 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2165056992535947161	0 2 36 38 78 80 120 122 156 158	-1129335154818
SPT(16)	2165057259797402933	0 6 20 68 98 110 180 230 264 314 384 396 426 474 488 494	-862073699046
SPT(16)	2165057339450580493	0 34 58 64 70 78 84 136 168 220 226 234 240 246 270 304	-782420521486
SPT(16)	2165057634623952473	0 20 26 60 66 74 80 116 174 210 216 224 230 264 270 290	-487247149506
SPT(16)	2165057819683502027	0 26 32 36 86 92 144 152 204 212 264 270 320 324 330 356	-302187599952
SPT(16)	2165057839224138283	0 40 46 64 66 84 106 166 174 234 256 274 276 294 300 340	-282646963696
SPT(16)	2165058151597031221	0 16 40 72 76 82 112 160 192 240 270 276 280 312 336 352	29725929242
SPT(16)	2165059335646174927	0 46 70 102 112 156 172 186 190 204 220 264 274 306 330 376	1213775072948
STPT(10)	2165060675871567821	0 2 6 8 48 50 90 92 96 98	2554000465842
STPT(10)	2165060999221599509	0 2 18 20 30 32 42 44 60 62	2877350497530
STPT(10)	2165061259381012841	0 2 36 38 78 80 120 122 156 158	3137509910862