Prime p₀= 1021187405553742127 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: HenkM
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1021185165628512233	0 24 26 30 48 90 98 126 128 156 164 206 224 228 230 254	-2239925229894
STPT(10)	1021185872334448241	0 2 36 38 78 80 120 122 156 158	-1533219293886
SPT(16)	1021186136368674721	0 12 18 48 78 90 120 130 198 208 238 250 280 310 316 328	-1269185067406
STPT(10)	1021186404529851347	0 2 60 62 72 74 84 86 144 146	-1001023890780
TPT(14)	1021186473591645209	0 2 60 62 78 80 90 92 120 122 162 164 210 212	-931962096918
TPT(14)	1021186836467757719	0 2 102 104 222 224 240 242 348 350 432 434 468 470	-569085984408
SPT(16)	1021187549120370061	0 28 30 72 100 112 148 156 232 240 276 288 316 358 360 388	143566627934
SPT(16)	1021187573114529827	0 26 30 156 180 200 212 222 230 240 252 272 296 422 426 452	167560787700
SPT(16)	1021187601472277053	0 6 66 84 138 174 178 204 280 306 310 346 400 418 478 484	195918534926
STPT(12)	1021188073945358981	0 2 30 32 48 50 138 140 156 158 186 188	668391616854
STPT(10)	1021188235517956277	0 2 72 74 102 104 132 134 204 206	829964214150