Prime p₀= 2031154872894514397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Dingo
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2031152169528257407	0 10 30 84 90 114 154 184 186 216 256 280 286 340 360 370	-2703366256990
SPT(16)	2031152204159901181	0 130 150 172 238 256 336 370 438 472 552 570 636 658 678 808	-2668734613216
SPT(16)	2031152392199382667	0 42 54 64 102 106 154 172 204 222 270 274 312 322 334 376	-2480695131730
SPT(16)	2031153016226851031	0 12 20 48 50 92 138 158 162 182 228 270 272 300 308 320	-1856667663366
STPT(12)	2031154554178977707	0 2 30 32 42 44 60 62 72 74 102 104	-318715536690
SPT(16)	2031154667858709157	0 24 66 94 144 162 172 196 270 294 304 322 372 400 442 466	-205035805240
SPT(16)	2031155606959894321	0 22 40 90 132 180 186 196 306 316 322 370 412 462 480 502	734065379924
STPT(10)	2031155807782336559	0 2 42 44 60 62 78 80 120 122	934887822162
SPT(16)	2031156539763863117	0 6 20 30 56 90 114 126 140 152 176 210 236 246 260 266	1666869348720
SPT(13)	2031156565489881287	0 6 54 90 96 120 210 300 324 330 366 414 420	1692595366890
STPT(12)	2031156582246488087	0 2 24 26 84 86 180 182 240 242 264 266	1709351973690