Prime p₀= 753997084671161057 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: gemini8
db: batch=73, k=10, 2 22 2 16 2

TPT(14)	753993145884527207	0 2 24 26 84 86 114 116 204 206 282 284 294 296	-3938786633850
STPT(10)	753994496620907159	0 2 48 50 60 62 72 74 120 122	-2588050253898
SPT(16)	753994738434952499	0 2 8 38 84 92 132 140 192 200 240 248 294 324 330 332	-2346236208558
SPT(16)	753994829300904349	0 30 70 124 160 162 168 202 210 244 250 252 288 342 382 412	-2255370256708
SPT(16)	753995164010289391	0 22 72 106 112 130 180 208 270 298 348 366 372 406 456 478	-1920660871666
SPT(16)	753996725132302837	0 22 64 72 82 136 150 162 184 196 210 264 274 282 324 346	-359538858220
SPT(16)	753997094604708953	0 6 14 36 50 60 104 108 176 180 224 234 248 270 278 284	9933547896
STPT(10)	753997261309584287	0 2 30 32 72 74 114 116 144 146	176638423230
STPT(10)	753997533273194261	0 2 6 8 18 20 30 32 36 38	448602033204
TPT(14)	753997609301047079	0 2 12 14 48 50 90 92 138 140 192 194 222 224	524629886022
SPT(16)	753997875356470519	0 10 22 40 42 54 64 88 144 168 178 190 192 210 222 232	790685309462