Prime p₀= 1377279027986140919 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: emoga
db: batch=77, k=10, 2 10 2 76 2

SPT(16)	1377276870312195547	0 4 6 22 60 84 126 144 172 190 232 256 294 310 312 316	-2157673945372
SPT(16)	1377276973775296129	0 12 40 42 84 90 132 144 148 160 202 208 250 252 280 292	-2054210844790
SPT(16)	1377277252475527411	0 22 40 66 130 162 180 220 222 262 280 312 376 402 420 442	-1775510613508
TPT(14)	1377278163334991369	0 2 90 92 132 134 138 140 210 212 348 350 390 392	-864651149550
SPT(16)	1377278621714286307	0 24 66 90 112 156 214 220 276 282 340 384 406 430 472 496	-406271854612
SPT(16)	1377278732556907483	0 6 58 66 84 108 118 120 184 186 196 220 238 246 298 304	-295429233436
SPT(16)	1377279053092025761	0 6 46 66 90 108 118 130 216 228 238 256 280 300 340 346	25105884842
SPT(16)	1377279334212110909	0 20 30 68 74 90 98 144 194 240 248 264 270 308 318 338	306225969990
STPT(10)	1377279542444233037	0 2 30 32 42 44 54 56 84 86	514458092118
STPT(10)	1377279670688709257	0 2 30 32 42 44 54 56 84 86	642702568338
SPT(16)	1377279760357431811	0 108 112 118 126 150 160 180 238 258 268 292 300 306 310 418	732371290892