Prime p₀= 2662620781641294977 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2662619722612417133	0 24 26 30 44 48 54 90 104 140 146 150 164 168 170 194	-1059028877844
SPT(16)	2662619824113448279	0 42 48 72 90 94 114 174 268 328 348 352 370 394 400 442	-957527846698
STPT(10)	2662620003444348041	0 2 6 8 48 50 90 92 96 98	-778196946936
SPT(16)	2662620257095278653	0 8 20 26 54 68 90 150 164 224 246 260 288 294 306 314	-524546016324
STPT(10)	2662620455825064401	0 2 6 8 18 20 30 32 36 38	-325816230576
STPT(10)	2662620752680570397	0 2 42 44 72 74 102 104 144 146	-28960724580
STPT(10)	2662620817861400489	0 2 42 44 60 62 78 80 120 122	36220105512
STPT(10)	2662621171665246677	0 2 12 14 72 74 132 134 144 146	390023951700
SPT(16)	2662621289150045029	0 4 30 58 132 154 178 198 214 234 258 280 354 382 408 412	507508750052
SPT(16)	2662621725362762983	0 4 28 30 40 46 78 84 250 256 288 294 304 306 330 334	943721468006
SPT(16)	2662622099279121589	0 10 18 58 102 108 112 148 192 228 232 238 282 322 330 340	1317637826612