Prime p₀= 1296905177885648699 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1296903287015662063	0 78 118 136 138 150 196 238 288 330 376 388 390 408 448 526	-1890869986636
TPT(14)	1296904011363498281	0 2 18 20 30 32 78 80 168 170 198 200 210 212	-1166522150418
SPT(16)	1296904136765408557	0 12 40 42 46 52 60 66 130 136 144 150 154 156 184 196	-1041120240142
STPT(10)	1296904386772379387	0 2 30 32 60 62 90 92 120 122	-791113269312
SPT(16)	1296904624973138627	0 6 24 84 132 140 146 176 180 210 216 224 272 332 350 356	-552912510072
SPT(16)	1296905026474252193	0 20 56 60 84 104 126 140 150 164 186 206 230 234 270 290	-151411396506
SPT(16)	1296905530983693859	0 70 78 88 100 120 198 250 288 340 418 438 450 460 468 538	353098045160
STPT(10)	1296905540222258171	0 2 6 8 18 20 30 32 36 38	362336609472
SPT(16)	1296905769028641913	0 10 16 30 40 58 78 136 378 436 456 474 484 498 504 514	591142993214
SPT(16)	1296905781899559641	0 18 32 78 80 98 102 108 110 116 120 138 140 186 200 218	604013910942
TPT(14)	1296905925519746207	0 2 12 14 24 26 30 32 42 44 54 56 180 182	747634097508