Prime p₀= 1268554387777441949 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: Megacruncher
db: batch=77, k=10, 2 28 2 28 2

SPT(13)	1268553410346719209	0 42 72 102 114 144 192 240 270 282 312 342 384	-977430722740
SPT(16)	1268553544891633801	0 6 12 36 66 72 126 162 210 246 300 306 336 360 366 372	-842885808148
STPT(10)	1268553836762557361	0 2 30 32 78 80 126 128 156 158	-551014884588
STPT(10)	1268554151105360891	0 2 30 32 78 80 126 128 156 158	-236672081058
SPT(16)	1268554305449346973	0 4 18 24 36 46 70 126 148 204 228 238 250 256 270 274	-82328094976
SPT(16)	1268554332072142943	0 6 20 60 78 80 90 168 266 344 354 356 374 414 428 434	-55705299006
STPT(10)	1268555195466897599	0 2 48 50 60 62 72 74 120 122	807689455650
STPT(10)	1268555234884598987	0 2 42 44 72 74 102 104 144 146	847107157038
STPT(12)	1268555260552443077	0 2 12 14 42 44 60 62 90 92 102 104	872775001128
STPT(12)	1268555274713135819	0 2 12 14 18 20 42 44 48 50 60 62	886935693870
SPT(16)	1268555352970701401	0 2 30 36 48 50 56 60 158 162 168 170 182 188 216 218	965193259452