Prime p₀= 1377281156641684961 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: emoga
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1377279804519188657	0 2 14 20 54 72 86 110 126 150 164 182 216 222 234 236	-1352122496304
SPT(16)	1377279951114188837	0 2 6 56 132 162 174 192 224 242 254 284 360 410 414 416	-1205527496124
STPT(10)	1377280119851812619	0 2 18 20 60 62 102 104 120 122	-1036789872342
STPT(10)	1377280319852595701	0 2 6 8 48 50 90 92 96 98	-836789089260
SPT(16)	1377280801188955633	0 28 34 46 78 88 154 166 168 180 246 256 288 300 306 334	-355452729328
SPT(16)	1377280886647616333	0 8 14 26 50 54 108 120 224 236 290 294 318 330 336 344	-269994068628
SPT(16)	1377281526501012001	0 30 72 88 100 126 130 168 190 228 232 258 270 286 328 358	369859327040
STPT(10)	1377281559417260657	0 2 30 32 42 44 54 56 84 86	402775575696
TPT(14)	1377281619351889829	0 2 12 14 42 44 90 92 138 140 198 200 210 212	462710204868
TPT(14)	1377281911668088031	0 2 60 62 126 128 138 140 156 158 210 212 216 218	755026403070
SPT(16)	1377282117223478621	0 12 30 60 78 108 122 138 182 198 212 242 260 290 308 320	960581793660