Prime p₀= 2978808165480182039 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: Orange Kid
db: batch=82, k=10, 2 10 2 76 2

STPT(10)	2978805905234555321	0 2 30 32 78 80 126 128 156 158	-2260245626718
SPT(16)	2978806244578049287	0 12 42 70 162 210 216 294 322 400 406 454 546 574 604 616	-1920902132752
STPT(10)	2978806342284163379	0 2 18 20 30 32 42 44 60 62	-1823196018660
STPT(12)	2978807463119044859	0 2 12 14 42 44 120 122 150 152 162 164	-702361137180
SPT(16)	2978807726309566873	0 24 54 94 96 100 120 124 126 130 150 154 156 196 226 250	-439170615166
SPT(16)	2978807879903854373	0 18 36 116 144 180 194 240 284 330 344 380 408 488 506 524	-285576327666
STPT(10)	2978808222028413779	0 2 42 44 90 92 138 140 180 182	56548231740
SPT(16)	2978808478477125793	0 6 48 58 66 168 196 214 240 258 286 388 396 406 448 454	312996943754
SPT(16)	2978808602027272543	0 88 90 118 156 196 198 204 250 256 258 298 336 364 366 454	436547090504
SPT(16)	2978808701519536829	0 54 62 98 168 180 192 198 224 230 242 254 324 360 368 422	536039354790
STPT(10)	2978808723221790341	0 2 36 38 78 80 120 122 156 158	557741608302