Prime p₀= 2666277492712946051 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2666275311441928117	0 24 84 100 126 136 144 214 276 346 354 364 390 406 466 490	-2181271017934
SPT(16)	2666275444677774211	0 28 36 58 78 112 130 172 216 258 276 310 330 352 360 388	-2048035171840
STPT(10)	2666275603483419209	0 2 18 20 60 62 102 104 120 122	-1889229526842
SPT(16)	2666276725028132683	0 18 34 54 88 108 124 130 168 174 190 210 244 264 280 298	-767684813368
SPT(16)	2666277151775542969	0 4 52 82 180 252 262 264 310 312 322 394 492 522 570 574	-340937403082
STPT(10)	2666277443257642829	0 2 18 20 30 32 42 44 60 62	-49455303222
SPT(16)	2666277613936008239	0 14 48 62 140 150 164 170 252 258 272 282 360 374 408 422	121223062188
STPT(10)	2666277679146512339	0 2 18 20 30 32 42 44 60 62	186433566288
STPT(12)	2666277936323837261	0 2 18 20 30 32 96 98 108 110 126 128	443610891210
SPT(16)	2666278076083099711	0 28 78 90 112 136 150 190 198 238 252 276 298 310 360 388	583370153660
TPT(14)	2666278238908861847	0 2 30 32 54 56 72 74 114 116 210 212 240 242	746195915796