Prime p₀= 2150511994122191771 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Xenon
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2150510088791918899	0 40 48 70 78 114 132 180 262 310 328 364 372 394 402 442	-1905330272872
STPT(10)	2150510495839348337	0 2 30 32 60 62 90 92 120 122	-1498282843434
SPT(16)	2150510628686607227	0 20 42 50 62 120 152 200 204 252 284 342 354 362 384 404	-1365435584544
SPT(16)	2150510972166291821	0 6 8 30 50 72 102 116 132 146 176 198 218 240 242 248	-1021955899950
SPT(16)	2150510983261891343	0 14 36 38 48 60 84 98 126 140 164 176 186 188 210 224	-1010860300428
STPT(10)	2150511378669087617	0 2 30 32 42 44 54 56 84 86	-615453104154
SPT(16)	2150512429496942123	0 6 20 26 48 54 68 110 204 246 260 266 288 294 308 314	435374750352
STPT(10)	2150512514033084867	0 2 30 32 42 44 54 56 84 86	519910893096
SPT(16)	2150512867655153501	0 8 140 156 168 170 198 212 246 260 288 290 302 318 450 458	873532961730
SPT(16)	2150513165602135211	0 12 20 50 98 168 198 230 330 362 392 462 510 540 548 560	1171479943440
STPT(10)	2150513206407362507	0 2 60 62 72 74 84 86 144 146	1212285170736