Prime p₀= 1951817226525704579 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

STPT(12)	1951816904415268991	0 2 36 38 48 50 78 80 90 92 126 128	-322110435588
SPT(16)	1951816921452625751	0 12 62 66 68 72 80 96 242 258 266 270 272 276 326 338	-305073078828
STPT(10)	1951817094072265841	0 2 36 38 78 80 120 122 156 158	-132453438738
SPT(16)	1951817129293065631	0 6 18 28 42 48 58 70 78 90 100 106 120 130 142 148	-97232638948
SPT(16)	1951817158444905527	0 24 84 114 140 146 222 252 254 284 360 366 392 422 482 506	-68080799052
SPT(16)	1951817220466529113	0 34 46 60 78 84 106 126 208 228 250 256 274 288 300 334	-6059175466
STPT(10)	1951817291913782141	0 2 30 32 60 62 90 92 120 122	65388077562
TPT(14)	1951817636010302441	0 2 6 8 66 68 108 110 120 122 168 170 210 212	409484597862
TPT(14)	1951817657471468867	0 2 54 56 84 86 120 122 150 152 174 176 222 224	430945764288
STPT(10)	1951817777165733929	0 2 12 14 90 92 168 170 180 182	550640029350
STPT(10)	1951817963064934577	0 2 30 32 42 44 54 56 84 86	736539229998