Prime p₀= 2164069736157739757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2164068102531244111	0 46 60 76 90 112 126 130 138 142 156 178 192 208 222 268	-1633626495646
STPT(10)	2164068736027691327	0 2 72 74 102 104 132 134 204 206	-1000130048430
SPT(16)	2164068919272167407	0 12 16 22 76 96 166 220 222 276 346 366 420 426 430 442	-816885572350
STPT(10)	2164069192986822557	0 2 60 62 102 104 144 146 204 206	-543170917200
STPT(10)	2164069249005764687	0 2 30 32 72 74 114 116 144 146	-487151975070
STPT(10)	2164069266300859199	0 2 42 44 60 62 78 80 120 122	-469856880558
SPT(16)	2164069803183388301	0 26 42 80 102 120 158 210 218 270 308 326 348 386 402 428	67025648544
SPT(20)	2164069812469519639	0 48 60 70 84 88 90 130 144 180 208 244 258 298 300 304 318 328 340 388	76311779882
STPT(10)	2164069856358478037	0 2 54 56 72 74 90 92 144 146	120200738280
SPT(16)	2164069859759060219	0 42 50 74 84 98 102 108 194 200 204 218 228 252 260 302	123601320462
SPT(16)	2164069874439471781	0 6 16 48 132 136 238 258 280 300 402 406 490 522 532 538	138281732024