Prime p₀= 2746458974508549269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2746456944397659659	0 18 102 122 174 182 200 264 278 342 360 368 420 440 524 542	-2030110889610
STPT(10)	2746457422609239761	0 2 36 38 78 80 120 122 156 158	-1551899309508
STPT(10)	2746457571354344201	0 2 6 8 48 50 90 92 96 98	-1403154205068
STPT(10)	2746457845146917129	0 2 42 44 90 92 138 140 180 182	-1129361632140
SPT(16)	2746457883936124733	0 6 56 84 86 90 96 104 180 188 194 198 200 228 278 284	-1090572424536
SPT(16)	2746458504158135357	0 30 44 50 56 104 122 132 164 174 192 240 246 252 266 296	-470350413912
SPT(16)	2746459062358910947	0 12 126 132 174 210 222 226 240 244 256 292 334 340 454 466	87850361678
SPT(16)	2746459158970012469	0 14 20 32 62 74 102 120 152 170 198 210 240 252 258 272	184461463200
STPT(10)	2746459553121187961	0 2 30 32 78 80 126 128 156 158	578612638692
SPT(16)	2746459618175488291	0 16 18 42 66 82 96 130 138 172 186 202 226 250 252 268	643666939022
STPT(10)	2746459641598374797	0 2 30 32 42 44 54 56 84 86	667089825528