Prime p₀= 961778333175020087 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	961775361928706359	0 24 28 30 58 114 118 130 138 150 154 210 238 240 244 268	-2971246313728
SPT(16)	961775867267722709	0 2 12 24 98 114 132 138 224 230 248 264 338 350 360 362	-2465907297378
SPT(16)	961776821538754411	0 16 36 42 66 82 150 192 196 238 306 322 346 352 372 388	-1511636265676
SPT(16)	961777392496510609	0 12 24 42 54 70 82 162 262 342 354 370 382 400 412 424	-940678509478
STPT(12)	961777604137173359	0 2 18 20 42 44 48 50 72 74 90 92	-729037846728
TPT(14)	961777794020652149	0 2 48 50 60 62 90 92 102 104 168 170 270 272	-539154367938
SPT(16)	961778560524549737	0 14 30 74 144 176 180 194 246 260 264 296 366 410 426 440	227349529650
TPT(14)	961778560647385979	0 2 78 80 120 122 198 200 222 224 330 332 348 350	227472365892
STPT(10)	961779098640840437	0 2 12 14 42 44 72 74 84 86	765465820350
STPT(10)	961779243228073811	0 2 30 32 78 80 126 128 156 158	910053053724
SPT(16)	961779444772076069	0 12 38 62 102 110 144 164 168 188 222 230 270 294 320 332	1111597055982