Prime p₀= 2541026572880893577 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: Vato
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2541025823114831593	0 4 10 24 78 126 150 154 270 274 298 346 400 414 420 424	-749766061984
STPT(10)	2541025828605223367	0 2 42 44 72 74 102 104 144 146	-744275670210
SPT(16)	2541025856468278549	0 18 40 54 84 90 108 118 144 154 172 178 208 222 244 262	-716412615028
STPT(10)	2541026093317611959	0 2 42 44 90 92 138 140 180 182	-479563281618
TPT(14)	2541026437355276417	0 2 24 26 72 74 84 86 330 332 414 416 444 446	-135525617160
SPT(16)	2541026478003539459	0 14 42 44 48 50 62 84 128 150 162 164 168 170 198 212	-94877354118
TPT(14)	2541026628213976619	0 2 12 14 120 122 168 170 300 302 318 320 342 344	55333083042
SPT(16)	2541026711241944477	0 32 60 66 170 186 210 234 272 296 320 336 440 446 474 506	138361050900
TPT(14)	2541026744737844639	0 2 12 14 78 80 132 134 150 152 168 170 180 182	171856951062
SPT(16)	2541027619087774093	0 30 34 54 58 60 78 90 154 166 184 186 190 210 214 244	1046206880516
TPT(14)	2541027785159036471	0 2 6 8 60 62 156 158 216 218 240 242 420 422	1212278142894