Prime p₀= 1377279670688709257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: emoga
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1377278621714286307	0 24 66 90 112 156 214 220 276 282 340 384 406 430 472 496	-1048974422950
SPT(16)	1377278732556907483	0 6 58 66 84 108 118 120 184 186 196 220 238 246 298 304	-938131801774
STPT(10)	1377279027986140919	0 2 12 14 90 92 168 170 180 182	-642702568338
SPT(16)	1377279053092025761	0 6 46 66 90 108 118 130 216 228 238 256 280 300 340 346	-617596683496
SPT(16)	1377279334212110909	0 20 30 68 74 90 98 144 194 240 248 264 270 308 318 338	-336476598348
STPT(10)	1377279542444233037	0 2 30 32 42 44 54 56 84 86	-128244476220
SPT(16)	1377279760357431811	0 108 112 118 126 150 160 180 238 258 268 292 300 306 310 418	89668722554
SPT(16)	1377279804519188657	0 2 14 20 54 72 86 110 126 150 164 182 216 222 234 236	133830479400
SPT(16)	1377279951114188837	0 2 6 56 132 162 174 192 224 242 254 284 360 410 414 416	280425479580
STPT(10)	1377280119851812619	0 2 18 20 60 62 102 104 120 122	449163103362
STPT(10)	1377280319852595701	0 2 6 8 48 50 90 92 96 98	649163886444