Prime p₀= 2704125857344197887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Rantanplan
db: batch=82, k=10, 2 10 2 28 2

TPT(14)	2704124688300719639	0 2 48 50 132 134 168 170 312 314 348 350 438 440	-1169043478248
SPT(16)	2704124805912526127	0 20 102 104 120 126 134 146 180 192 200 206 222 224 306 326	-1051431671760
SPT(16)	2704125109716652997	0 14 74 90 92 96 116 176 180 240 260 264 266 282 342 356	-747627544890
SPT(16)	2704125454529680157	0 14 30 86 96 104 140 162 194 216 252 260 270 326 342 356	-402814517730
SPT(16)	2704125566071431317	0 12 50 56 62 72 96 132 140 176 200 210 216 222 260 272	-291272766570
STPT(10)	2704125650485206041	0 2 6 8 48 50 90 92 96 98	-206858991846
SPT(18)	2704126361388082517	0 42 54 96 120 146 162 174 204 362 392 404 420 446 470 512 524 566	504043884630
SPT(16)	2704126866474867881	0 20 42 60 68 80 98 158 210 270 288 300 308 326 348 368	1009130669994
STPT(10)	2704127121773080181	0 2 6 8 48 50 90 92 96 98	1264428882294
SPT(16)	2704127428661500571	0 6 20 38 72 80 86 92 156 162 168 176 210 228 242 248	1571317302684
STPT(10)	2704127526282386717	0 2 42 44 102 104 162 164 204 206	1668938188830