Prime p₀= 1377279542444233037 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

TPT(14)	1377278163334991369	0 2 90 92 132 134 138 140 210 212 348 350 390 392	-1379109241668
SPT(16)	1377278621714286307	0 24 66 90 112 156 214 220 276 282 340 384 406 430 472 496	-920729946730
SPT(16)	1377278732556907483	0 6 58 66 84 108 118 120 184 186 196 220 238 246 298 304	-809887325554
STPT(10)	1377279027986140919	0 2 12 14 90 92 168 170 180 182	-514458092118
SPT(16)	1377279053092025761	0 6 46 66 90 108 118 130 216 228 238 256 280 300 340 346	-489352207276
SPT(16)	1377279334212110909	0 20 30 68 74 90 98 144 194 240 248 264 270 308 318 338	-208232122128
STPT(10)	1377279670688709257	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	217913198774
SPT(16)	1377279804519188657	0 2 14 20 54 72 86 110 126 150 164 182 216 222 234 236	262074955620
SPT(16)	1377279951114188837	0 2 6 56 132 162 174 192 224 242 254 284 360 410 414 416	408669955800
STPT(10)	1377280119851812619	0 2 18 20 60 62 102 104 120 122	577407579582