Prime p₀= 2564039511394468109 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

TPT(18)	2564037820894911677	0 2 42 44 84 86 162 164 180 182 192 194 222 224 264 266 294 296	-1690499556432
STPT(10)	2564037922777364741	0 2 36 38 78 80 120 122 156 158	-1588617103368
SPT(16)	2564038158363448883	0 8 20 30 36 86 110 156 158 204 228 278 284 294 306 314	-1353031019226
SPT(16)	2564038552382771951	0 2 18 26 128 146 152 168 230 246 252 270 372 380 396 398	-959011696158
TPT(14)	2564038671757048697	0 2 24 26 54 56 162 164 324 326 360 362 390 392	-839637419412
SPT(16)	2564039206843827871	0 28 42 48 88 190 196 250 378 432 438 540 580 586 600 628	-304550640238
SPT(16)	2564039662784449943	0 8 30 44 56 66 74 78 86 90 98 108 120 134 156 164	151389981834
STPT(10)	2564039682524827691	0 2 30 32 60 62 90 92 120 122	171130359582
SPT(16)	2564039870474123089	0 12 88 102 114 124 138 144 178 184 198 208 220 234 310 322	359079654980
SPT(16)	2564040050041895773	0 6 10 76 130 138 154 214 300 360 376 384 438 504 508 514	538647427664
STPT(10)	2564040375221556347	0 2 30 32 42 44 54 56 84 86	863827088238