Prime p₀= 2378098638154241789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2378096856054157877	0 20 42 44 60 80 114 132 182 200 234 254 270 272 294 314	-1782100083912
STPT(10)	2378096956280201249	0 2 30 32 60 62 90 92 120 122	-1681874040540
STPT(10)	2378097069618839837	0 2 90 92 102 104 114 116 204 206	-1568535401952
STPT(10)	2378097085084037477	0 2 30 32 42 44 54 56 84 86	-1553070204312
SPT(16)	2378097494943762947	0 32 50 80 84 92 102 122 144 164 174 182 186 216 234 266	-1143210478842
SPT(16)	2378097956583331231	0 6 36 90 96 130 142 196 216 270 282 316 322 376 406 412	-681570910558
TPT(14)	2378098756169930489	0 2 12 14 42 44 48 50 90 92 168 170 252 254	118015688700
STPT(10)	2378098882332881759	0 2 42 44 60 62 78 80 120 122	244178639970
STPT(12)	2378099261425252397	0 2 30 32 42 44 90 92 102 104 132 134	623271010608
SPT(16)	2378099943585594971	0 8 26 36 72 80 86 108 140 162 168 176 212 222 240 248	1305431353182
SPT(16)	2378100235291674809	0 2 38 60 108 240 290 312 320 342 392 524 572 594 630 632	1597137433020