Prime p₀= 2180026713164574059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: ginga
db: batch=81, k=10, 2 28 2 28 2

TPT(14)	2180024894284033889	0 2 42 44 72 74 78 80 162 164 180 182 222 224	-1818880540170
SPT(18)	2180025176474879681	0 72 110 120 138 180 188 252 258 260 266 330 338 380 398 408 446 518	-1536689694378
STPT(10)	2180025369954590999	0 2 78 80 120 122 162 164 240 242	-1343209983060
SPT(16)	2180025720545706739	0 4 12 18 58 70 102 112 210 220 252 264 304 310 318 322	-992618867320
STPT(10)	2180025759039007511	0 2 30 32 78 80 126 128 156 158	-954125566548
SPT(16)	2180026259088122267	0 54 140 170 176 180 194 210 296 312 326 330 336 366 452 506	-454076451792
STPT(10)	2180027142123165089	0 2 18 20 30 32 42 44 60 62	428958591030
SPT(16)	2180027944481096497	0 12 36 54 76 102 120 132 154 166 184 210 232 250 274 286	1231316522438
SPT(20)	2180027955918122041	0 42 72 78 106 112 142 162 210 222 226 238 286 306 336 342 370 376 406 448	1242753547982
SPT(16)	2180027983629889847	0 6 20 24 26 42 72 104 132 164 194 210 212 216 230 236	1270465315788
SPT(16)	2180028182593087987	0 4 12 24 30 34 72 90 94 112 150 154 160 172 180 184	1469428513928