Prime p₀= 1588353211377539681 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: crashtech
db: batch=78, k=10, 2 4 2 40 2

STPT(12)	1588352411775055037	0 2 12 14 42 44 72 74 102 104 114 116	-799602484644
TPT(14)	1588352673114957521	0 2 30 32 156 158 186 188 210 212 228 230 258 260	-538262582160
SPT(16)	1588352698391459669	0 48 78 128 140 174 182 194 198 210 218 252 264 314 344 392	-512986080012
STPT(10)	1588353050532757469	0 2 78 80 120 122 162 164 240 242	-160844782212
SPT(16)	1588353083374631627	0 36 56 120 140 180 186 210 212 236 242 282 302 366 386 422	-128002908054
SPT(16)	1588353126915829837	0 16 54 70 96 114 124 154 192 222 232 250 276 292 330 346	-84461709844
SPT(16)	1588353371069052661	0 12 22 66 72 82 90 112 120 142 150 160 166 210 220 232	159691512980
SPT(16)	1588353475565660891	0 20 36 72 80 90 140 162 176 198 248 258 266 302 318 338	264188121210
STPT(10)	1588353517499401529	0 2 30 32 60 62 90 92 120 122	306121861848
SPT(16)	1588354064030434733	0 68 96 126 140 194 224 236 258 270 300 354 368 398 426 494	852652895052
STPT(10)	1588354128068144189	0 2 18 20 30 32 42 44 60 62	916690604508