Prime p₀= 2727829605682009877 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-FC] hl
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2727828084371953223	0 6 44 104 110 126 146 156 188 198 218 234 240 300 338 344	-1521310056654
SPT(16)	2727828192531853357	0 22 126 162 190 202 204 246 280 322 324 336 364 400 504 526	-1413150156520
SPT(16)	2727828353432048233	0 16 24 28 54 70 76 160 174 258 264 280 306 310 318 334	-1252249961644
SPT(16)	2727829148944592851	0 22 78 100 118 126 138 142 186 190 202 210 228 250 306 328	-456737417026
SPT(16)	2727829387643431597	0 60 82 94 102 114 142 196 210 264 292 304 312 324 346 406	-218038578280
SPT(16)	2727829554017744233	0 28 36 46 54 66 100 184 360 444 478 490 498 508 516 544	-51664265644
SPT(16)	2727830032213591807	0 6 24 42 46 60 64 102 154 192 196 210 214 232 250 256	426531581930
SPT(16)	2727830141661798577	0 10 42 76 84 96 132 136 210 214 250 262 270 304 336 346	535979788700
SPT(16)	2727830356086627853	0 28 64 70 90 118 120 130 234 244 246 274 294 300 336 364	750404617976
STPT(10)	2727830667588590321	0 2 6 8 18 20 30 32 36 38	1061906580444
SPT(16)	2727830737397565461	0 26 32 60 98 116 126 156 212 242 252 270 308 336 342 368	1131715555584