Prime p₀= 2138912639492204657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2138911537748925613	0 6 10 90 94 108 136 148 246 258 286 300 304 384 388 394	-1101743279044
SPT(16)	2138911555250682337	0 30 54 76 90 142 160 264 322 426 444 496 510 532 556 586	-1084241522320
SPT(16)	2138912080409850437	0 2 14 54 80 84 90 110 126 146 152 156 182 222 234 236	-559082354220
TPT(14)	2138912293752592079	0 2 150 152 252 254 372 374 390 392 402 404 408 410	-345739612578
STPT(10)	2138912386513447817	0 2 30 32 42 44 54 56 84 86	-252978756840
STPT(10)	2138912502062775779	0 2 18 20 30 32 42 44 60 62	-137429428878
STPT(10)	2138912664397778609	0 2 18 20 30 32 42 44 60 62	24905573952
STPT(10)	2138912686011086807	0 2 84 86 132 134 180 182 264 266	46518882150
SPT(16)	2138912892256759061	0 108 126 150 192 210 218 242 276 300 308 326 368 392 410 518	252764554404
SPT(16)	2138912978612669471	0 6 36 56 62 122 150 156 176 182 210 270 276 296 326 332	339120464814
STPT(10)	2138913055997866241	0 2 36 38 78 80 120 122 156 158	416505661584