Prime p₀= 1264428329327686277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Megacruncher
db: batch=77, k=10, 2 40 2 28 2

SPT(16)	1264426838418068939	0 14 32 48 78 120 162 188 204 230 272 314 344 360 378 392	-1490909617338
STPT(10)	1264427251117134659	0 2 18 20 60 62 102 104 120 122	-1078210551618
STPT(10)	1264427268002529737	0 2 30 32 120 122 210 212 240 242	-1061325156540
SPT(16)	1264427517109608473	0 56 66 68 74 90 98 114 140 156 164 180 186 188 198 254	-812218077804
TPT(14)	1264427840970506759	0 2 72 74 138 140 150 152 222 224 318 320 360 362	-488357179518
SPT(16)	1264428188597483687	0 12 30 42 56 66 122 176 270 324 380 390 404 416 434 446	-140730202590
STPT(10)	1264428445299810821	0 2 30 32 60 62 90 92 120 122	115972124544
STPT(10)	1264428557648408861	0 2 36 38 78 80 120 122 156 158	228320722584
STPT(10)	1264429017762319151	0 2 120 122 138 140 156 158 276 278	688434632874
STPT(10)	1264429116862118237	0 2 30 32 60 62 90 92 120 122	787534431960
SPT(16)	1264429135653530083	0 30 34 84 96 124 138 156 178 196 210 238 250 300 304 334	806325843806