Prime p₀= 1147319249575664507 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: crashtech
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1147317997229663449	0 10 28 60 78 84 112 138 154 180 208 214 232 264 282 292	-1252346001058
SPT(16)	1147318474153980871	0 18 36 40 78 88 196 208 360 372 480 490 528 532 550 568	-775421683636
STPT(10)	1147318809054658949	0 2 18 20 60 62 102 104 120 122	-440521005558
STPT(10)	1147318916354436071	0 2 36 38 78 80 120 122 156 158	-333221228436
SPT(16)	1147319112640638523	0 18 24 36 66 70 94 106 108 120 144 148 178 190 196 214	-136935025984
STPT(10)	1147319182103007671	0 2 6 8 18 20 30 32 36 38	-67472656836
SPT(16)	1147319444546342959	0 28 30 58 108 114 160 168 184 192 238 244 294 322 324 352	194970678452
SPT(16)	1147319566899823673	0 30 68 80 114 146 168 180 284 296 318 350 384 396 434 464	317324159166
SPT(16)	1147319674339945501	0 58 70 90 96 132 156 198 220 262 286 322 328 348 360 418	424764280994
SPT(16)	1147320022246604287	0 64 70 90 102 126 132 156 160 184 190 214 226 246 252 316	772670939780
STPT(10)	1147320228331433867	0 2 42 44 72 74 102 104 144 146	978755769360