Prime p₀= 1078291120964561687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	1078288913335994887	0 22 52 114 120 174 184 252 262 330 340 394 400 462 492 514	-2207628566800
SPT(16)	1078289248787286157	0 10 114 130 150 154 166 172 234 240 252 256 276 292 396 406	-1872177275530
TPT(14)	1078289735345324351	0 2 48 50 78 80 126 128 150 152 168 170 210 212	-1385619237336
STPT(10)	1078289877104015759	0 2 42 44 120 122 198 200 240 242	-1243860545928
SPT(16)	1078290586078483991	0 12 26 30 56 66 92 108 140 156 182 192 218 222 236 248	-534886077696
SPT(16)	1078290957531989209	0 12 28 84 100 112 130 138 154 162 180 192 208 264 280 292	-163432572478
SPT(16)	1078291295203308899	0 12 48 72 98 102 104 114 128 138 140 144 170 194 230 242	174238747212
SPT(16)	1078291352551700093	0 36 44 48 114 140 156 170 174 188 204 230 296 300 308 344	231587138406
STPT(10)	1078291435667454077	0 2 24 26 42 44 60 62 84 86	314702892390
SPT(16)	1078291567212844601	0 2 18 38 68 80 110 138 140 168 198 210 240 260 276 278	446248282914
SPT(16)	1078291684319582671	0 28 46 52 78 138 168 178 240 250 280 340 366 372 390 418	563355020984