Prime p₀= 1040304271771119539 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Skivelitis2
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1040302342981290761	0 56 78 86 120 126 170 182 186 198 242 248 282 290 312 368	-1928789828778
SPT(16)	1040303172906104771	0 20 26 30 48 60 98 140 156 198 236 248 266 270 276 296	-1098865014768
SPT(16)	1040303367974896847	0 24 42 54 92 126 134 152 204 222 230 264 302 314 332 356	-903796222692
SPT(16)	1040303812187747069	0 92 102 132 138 144 152 158 204 210 218 224 230 260 270 362	-459583372470
STPT(10)	1040303831301422297	0 2 30 32 42 44 54 56 84 86	-440469697242
SPT(16)	1040303994061866461	0 6 20 26 30 36 48 68 78 98 110 116 120 126 140 146	-277709253078
TPT(14)	1040304435256065167	0 2 84 86 102 104 144 146 222 224 234 236 240 242	163484945628
STPT(10)	1040304502149604187	0 2 12 14 42 44 72 74 84 86	230378484648
SPT(16)	1040304666299285899	0 10 12 28 70 78 108 120 130 142 172 180 222 238 240 250	394528166360
SPT(16)	1040304671443358147	0 24 32 50 84 92 140 144 242 246 294 302 336 354 362 386	399672238608
STPT(10)	1040304682939662389	0 2 18 20 30 32 42 44 60 62	411168542850