Prime p₀= 2114000590883588777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2114000190521145523	0 4 10 100 126 178 214 216 238 240 276 328 354 444 450 454	-400362443254
STPT(10)	2114000380236322439	0 2 78 80 120 122 162 164 240 242	-210647266338
STPT(10)	2114000446029645377	0 2 12 14 42 44 72 74 84 86	-144853943400
STPT(10)	2114000511761754521	0 2 6 8 48 50 90 92 96 98	-79121834256
SPT(22)	2114000512559245481	0 20 42 78 108 110 138 146 162 176 182 246 252 266 282 290 318 320 350 386 408 428	-78324343296
SPT(16)	2114000534749424807	0 36 56 66 96 132 140 146 156 162 170 206 236 246 266 302	-56134163970
SPT(16)	2114000628138615631	0 6 42 48 52 70 72 88 90 106 108 126 130 136 172 178	37255026854
SPT(13)	2114001012479102459	0 84 150 168 174 228 234 240 294 300 318 384 468	421595513682
STPT(10)	2114001493280009699	0 2 42 44 60 62 78 80 120 122	902396420922
SPT(16)	2114001632952127291	0 46 72 76 112 130 132 172 240 280 282 300 336 340 366 412	1042068538514
STPT(10)	2114001643689843107	0 2 12 14 72 74 132 134 144 146	1052806254330