Prime p₀= 960999176753588897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	960997136286936569	0 2 42 44 60 62 78 80 120 122	-2040466652328
STPT(10)	960997350764687777	0 2 60 62 102 104 144 146 204 206	-1825988901120
SPT(16)	960998088876729151	0 36 40 78 112 138 166 180 208 222 250 276 310 348 352 388	-1087876859746
STPT(10)	960998296496221259	0 2 132 134 150 152 168 170 300 302	-880257367638
STPT(12)	960998591432265437	0 2 30 32 42 44 60 62 72 74 102 104	-585321323460
SPT(16)	960999079667585887	0 22 34 42 64 66 76 120 136 180 190 192 214 222 234 256	-97086003010
STPT(10)	960999382228639811	0 2 36 38 78 80 120 122 156 158	205475050914
SPT(16)	961000050712496087	0 72 102 146 150 156 182 192 374 384 410 416 420 464 494 566	873958907190
SPT(20)	961000160628901363	0 36 66 70 130 204 244 246 270 276 298 304 328 330 370 444 504 508 538 574	983875312466
SPT(18)	961000179778281221	0 8 12 38 66 68 78 102 120 308 326 350 360 362 390 416 420 428	1003024692324
TPT(14)	961000405225924751	0 2 30 32 78 80 186 188 216 218 228 230 330 332	1228472335854