Prime p₀= 756408620808468071 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 28 2 28 2 106 2 (?)
a_n: 0 2 108 110 138 140 168 170 276 278
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: 278
Found by: [SG]steini
db: batch=73, k=10, 2 106 2 28 2

SPT(16)	756407526775004389	0 10 48 54 82 102 112 138 334 360 370 390 418 424 462 472	-1094033463682
STPT(10)	756407992014993221	0 2 78 80 138 140 198 200 276 278	-628793474850
STPT(10)	756408028158003581	0 2 6 8 48 50 90 92 96 98	-592650464490
STPT(10)	756408367733394281	0 2 6 8 48 50 90 92 96 98	-253075073790
SPT(16)	756408400760370121	0 36 58 60 82 88 112 126 142 156 180 186 208 210 232 268	-220048097950
SPT(16)	756408512945267437	0 22 36 40 156 216 246 250 282 286 316 376 492 496 510 532	-107863200634
STPT(10)	756408691862400089	0 2 42 44 60 62 78 80 120 122	71053932018
TPT(14)	756408781125693077	0 2 30 32 54 56 90 92 132 134 222 224 270 272	160317225006
STPT(10)	756408785682616271	0 2 6 8 18 20 30 32 36 38	164874148200
SPT(16)	756408818699074861	0 40 48 90 132 136 138 150 178 190 192 196 238 280 288 328	197890606790
STPT(10)	756409099474989197	0 2 30 32 42 44 54 56 84 86	478666521126