Prime p₀= 862706177177141327 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: scrap
db: batch=73, k=10, 2 28 2 28 2

SPT(16)	862705500940005743	0 14 48 96 104 108 128 170 234 276 296 300 308 356 390 404	-676237135584
SPT(16)	862705743702877817	0 12 36 56 92 144 152 182 204 234 242 294 330 350 374 386	-433474263510
SPT(16)	862705915237892917	0 6 10 24 72 120 154 156 190 192 226 274 322 336 340 346	-261939248410
SPT(16)	862705963222105973	0 26 36 54 98 126 236 276 278 318 428 456 500 518 528 554	-213955035354
STPT(10)	862705980627155099	0 2 78 80 120 122 162 164 240 242	-196549986228
STPT(10)	862706079734675357	0 2 30 32 42 44 54 56 84 86	-97442465970
TPT(14)	862706422211314097	0 2 42 44 60 62 72 74 174 176 222 224 312 314	245034172770
SPT(16)	862706509992767897	0 2 14 30 36 56 86 120 176 210 240 260 266 282 294 296	332815626570
TPT(14)	862706928222208919	0 2 42 44 90 92 120 122 132 134 150 152 210 212	751045067592
SPT(16)	862707020770555319	0 24 30 42 72 80 84 104 108 128 132 140 170 182 188 212	843593413992
SPT(16)	862707184093146341	0 6 20 32 56 120 126 152 210 236 242 306 330 342 356 362	1006916005014