Prime p₀= 1282343134954603607 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: Theadalus
db: batch=77, k=10, 2 28 2 10 2

SPT(13)	1282342190834745617	0 12 30 36 42 66 96 126 150 156 162 180 192	-944119857990
SPT(16)	1282342320705561377	0 12 20 62 86 92 126 174 212 260 294 300 324 366 374 386	-814249042230
SPT(16)	1282342328010183547	0 4 30 34 106 130 142 144 172 174 186 210 282 286 312 316	-806944420060
SPT(16)	1282342363654154839	0 18 84 142 168 192 262 274 318 330 400 424 450 508 574 592	-771300448768
SPT(16)	1282342540013188211	0 48 96 108 122 126 152 158 210 216 242 246 260 272 320 368	-594941415396
TPT(14)	1282342616856020129	0 2 90 92 180 182 210 212 252 254 258 260 282 284	-518098583478
STPT(12)	1282343241623085977	0 2 24 26 30 32 54 56 60 62 84 86	106668482370
STPT(10)	1282343350561525331	0 2 30 32 78 80 126 128 156 158	215606921724
STPT(10)	1282343957337346637	0 2 24 26 42 44 60 62 84 86	822382743030
SPT(16)	1282344143534048137	0 4 36 54 70 112 156 162 334 340 384 426 442 460 492 496	1008579444530
STPT(10)	1282344361927838477	0 2 30 32 72 74 114 116 144 146	1226973234870