Prime p₀= 2753048019770590427 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: fake
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2753047122433490027	0 56 62 96 110 120 162 222 230 290 332 342 356 390 396 452	-897337100400
STPT(10)	2753047297618878311	0 2 6 8 18 20 30 32 36 38	-722151712116
TPT(14)	2753047300370197739	0 2 30 32 42 44 102 104 252 254 270 272 318 320	-719400392688
SPT(16)	2753047665346502047	0 24 60 82 84 130 144 196 210 262 276 322 324 346 382 406	-354424088380
SPT(16)	2753047848007733719	0 24 28 34 48 60 78 108 130 160 178 190 204 210 214 238	-171762856708
STPT(10)	2753047854670407587	0 2 42 44 72 74 102 104 144 146	-165100182840
TPT(14)	2753048254251984347	0 2 24 26 42 44 114 116 150 152 162 164 324 326	234481393920
STPT(10)	2753048733950181011	0 2 36 38 78 80 120 122 156 158	714179590584
SPT(16)	2753049061468737613	0 4 28 54 58 60 70 88 96 114 124 126 130 156 180 184	1041698147186
SPT(16)	2753049836751366079	0 42 58 88 100 114 154 214 228 288 328 342 354 384 400 442	1816980775652
SPT(16)	2753050203472731707	0 54 96 150 164 174 186 212 294 320 332 342 356 410 452 506	2183702141280