Prime p₀= 1078289877104015759 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Theadalus
db: batch=76, k=10, 2 40 2 76 2

SPT(16)	1078288398428230993	0 16 48 54 70 76 106 124 150 168 198 204 220 226 258 274	-1478675784766
TPT(14)	1078288503808217417	0 2 102 104 132 134 210 212 240 242 330 332 354 356	-1373295798342
STPT(10)	1078288714524435497	0 2 30 32 72 74 114 116 144 146	-1162579580262
SPT(16)	1078288913335994887	0 22 52 114 120 174 184 252 262 330 340 394 400 462 492 514	-963768020872
SPT(16)	1078289248787286157	0 10 114 130 150 154 166 172 234 240 252 256 276 292 396 406	-628316729602
TPT(14)	1078289735345324351	0 2 48 50 78 80 126 128 150 152 168 170 210 212	-141758691408
SPT(16)	1078290586078483991	0 12 26 30 56 66 92 108 140 156 182 192 218 222 236 248	708974468232
SPT(16)	1078290957531989209	0 12 28 84 100 112 130 138 154 162 180 192 208 264 280 292	1080427973450
STPT(10)	1078291120964561687	0 2 30 32 42 44 54 56 84 86	1243860545928
SPT(16)	1078291295203308899	0 12 48 72 98 102 104 114 128 138 140 144 170 194 230 242	1418099293140
SPT(16)	1078291352551700093	0 36 44 48 114 140 156 170 174 188 204 230 296 300 308 344	1475447684334