Prime p₀= 2793556808691793559 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: Ben
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2793555798628799359	0 28 30 42 78 88 112 138 154 180 204 214 250 262 264 292	-1010062994200
SPT(16)	2793556434372405067	0 10 16 42 64 112 114 126 130 142 144 192 214 240 246 256	-374319388492
SPT(16)	2793556440734822437	0 30 36 76 126 132 184 250 276 342 394 400 450 490 496 526	-367956971122
TPT(14)	2793556463138333777	0 2 54 56 132 134 150 152 174 176 252 254 294 296	-345553459782
STPT(10)	2793556519476173819	0 2 18 20 30 32 42 44 60 62	-289215619740
TPT(14)	2793556540187765969	0 2 42 44 78 80 168 170 180 182 222 224 282 284	-268504027590
STPT(10)	2793557094077067551	0 2 30 32 78 80 126 128 156 158	285385273992
SPT(16)	2793557723948160209	0 20 24 68 110 138 140 164 294 318 320 348 390 434 438 458	915256366650
STPT(10)	2793558253714223531	0 2 6 8 48 50 90 92 96 98	1445022429972
STPT(10)	2793558738814227479	0 2 18 20 30 32 42 44 60 62	1930122433920
SPT(16)	2793559251941397649	0 10 48 52 54 64 78 114 118 154 168 178 180 184 222 232	2443249604090