Prime p₀= 1377280119851812619 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: emoga
db: batch=77, k=10, 2 16 2 40 2

SPT(16)	1377279334212110909	0 20 30 68 74 90 98 144 194 240 248 264 270 308 318 338	-785639701710
STPT(10)	1377279542444233037	0 2 30 32 42 44 54 56 84 86	-577407579582
STPT(10)	1377279670688709257	0 2 30 32 42 44 54 56 84 86	-449163103362
SPT(16)	1377279760357431811	0 108 112 118 126 150 160 180 238 258 268 292 300 306 310 418	-359494380808
SPT(16)	1377279804519188657	0 2 14 20 54 72 86 110 126 150 164 182 216 222 234 236	-315332623962
SPT(16)	1377279951114188837	0 2 6 56 132 162 174 192 224 242 254 284 360 410 414 416	-168737623782
STPT(10)	1377280319852595701	0 2 6 8 48 50 90 92 96 98	200000783082
SPT(16)	1377280801188955633	0 28 34 46 78 88 154 166 168 180 246 256 288 300 306 334	681337143014
SPT(16)	1377280886647616333	0 8 14 26 50 54 108 120 224 236 290 294 318 330 336 344	766795803714
STPT(10)	1377281156641684961	0 2 6 8 18 20 30 32 36 38	1036789872342
SPT(16)	1377281526501012001	0 30 72 88 100 126 130 168 190 228 232 258 270 286 328 358	1406649199382