Prime p₀= 1030721369408117687 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1030719706900665077	0 74 102 170 212 266 296 312 314 330 360 414 456 524 552 626	-1662507452610
SPT(16)	1030719942079100881	0 28 58 82 112 130 138 142 156 160 168 186 216 240 270 298	-1427329016806
STPT(10)	1030720352804966567	0 2 42 44 72 74 102 104 144 146	-1016603151120
SPT(16)	1030720522571928803	0 20 66 86 108 128 140 146 168 174 186 206 228 248 294 314	-846836188884
SPT(16)	1030721160233988653	0 24 48 50 84 104 128 134 204 210 234 254 288 290 314 338	-209174129034
SPT(16)	1030721220992256769	0 28 48 52 70 120 150 178 222 250 280 330 348 352 372 400	-148415860918
TPT(14)	1030721450323677449	0 2 30 32 282 284 318 320 330 332 390 392 408 410	80915559762
SPT(16)	1030721907911099221	0 10 28 82 102 112 126 132 136 142 156 166 186 240 258 268	538502981534
TPT(14)	1030722001732910579	0 2 78 80 162 164 180 182 198 200 210 212 222 224	632324792892
STPT(10)	1030722038470702607	0 2 30 32 42 44 54 56 84 86	669062584920
TPT(14)	1030722100473934247	0 2 12 14 42 44 84 86 150 152 222 224 372 374	731065816560