Prime p₀= 1040303831301422297 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: [SG-2W]Kurzer
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1040301592340877857	0 2 42 44 72 74 102 104 144 146	-2238960544440
SPT(16)	1040301862912151417	0 26 32 44 56 102 144 152 174 182 224 270 282 294 300 326	-1968389270880
SPT(16)	1040302342981290761	0 56 78 86 120 126 170 182 186 198 242 248 282 290 312 368	-1488320131536
SPT(16)	1040303172906104771	0 20 26 30 48 60 98 140 156 198 236 248 266 270 276 296	-658395317526
SPT(16)	1040303367974896847	0 24 42 54 92 126 134 152 204 222 230 264 302 314 332 356	-463326525450
SPT(16)	1040303812187747069	0 92 102 132 138 144 152 158 204 210 218 224 230 260 270 362	-19113675228
SPT(16)	1040303994061866461	0 6 20 26 30 36 48 68 78 98 110 116 120 126 140 146	162760444164
STPT(10)	1040304271771119539	0 2 18 20 30 32 42 44 60 62	440469697242
TPT(14)	1040304435256065167	0 2 84 86 102 104 144 146 222 224 234 236 240 242	603954642870
STPT(10)	1040304502149604187	0 2 12 14 42 44 72 74 84 86	670848181890
SPT(16)	1040304666299285899	0 10 12 28 70 78 108 120 130 142 172 180 222 238 240 250	834997863602