Prime p₀= 1264429017762319151 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 118 2 16 2 16 2 118 2 (?)
a_n: 0 2 120 122 138 140 156 158 276 278
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: Megacruncher
db: batch=77, k=10, 2 118 2 16 2

SPT(16)	1264427517109608473	0 56 66 68 74 90 98 114 140 156 164 180 186 188 198 254	-1500652710678
TPT(14)	1264427840970506759	0 2 72 74 138 140 150 152 222 224 318 320 360 362	-1176791812392
SPT(16)	1264428188597483687	0 12 30 42 56 66 122 176 270 324 380 390 404 416 434 446	-829164835464
STPT(10)	1264428329327686277	0 2 42 44 72 74 102 104 144 146	-688434632874
STPT(10)	1264428445299810821	0 2 30 32 60 62 90 92 120 122	-572462508330
STPT(10)	1264428557648408861	0 2 36 38 78 80 120 122 156 158	-460113910290
STPT(10)	1264429116862118237	0 2 30 32 60 62 90 92 120 122	99099799086
SPT(16)	1264429135653530083	0 30 34 84 96 124 138 156 178 196 210 238 250 300 304 334	117891210932
STPT(10)	1264429803365525891	0 2 6 8 48 50 90 92 96 98	785603206740
SPT(16)	1264430172121255981	0 18 48 66 106 136 160 186 202 228 252 282 322 340 370 388	1154358936830
STPT(10)	1264430193180742967	0 2 30 32 42 44 54 56 84 86	1175418423816