Prime p₀= 1041434202290973287 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

TPT(14)	1041433227777798641	0 2 30 32 36 38 60 62 78 80 126 128 186 188	-974513174646
STPT(10)	1041433436747424731	0 2 6 8 48 50 90 92 96 98	-765543548556
SPT(16)	1041433744144048891	0 6 10 30 88 100 108 130 138 160 168 180 238 258 262 268	-458146924396
STPT(10)	1041433781394022109	0 2 42 44 60 62 78 80 120 122	-420896951178
STPT(10)	1041434038052826947	0 2 42 44 72 74 102 104 144 146	-164238146340
SPT(16)	1041434044089519343	0 16 28 54 106 228 306 310 354 358 436 558 610 636 648 664	-158201453944
SPT(16)	1041434217447031103	0 20 36 78 90 104 108 120 134 146 150 164 176 218 234 254	15156057816
TPT(14)	1041434340839429261	0 2 18 20 90 92 96 98 240 242 270 272 336 338	138548455974
STPT(10)	1041434532091517297	0 2 24 26 42 44 60 62 84 86	329800544010
STPT(10)	1041434732131657691	0 2 36 38 78 80 120 122 156 158	529840684404
SPT(16)	1041435077679528079	0 34 72 114 148 150 174 220 252 298 322 324 358 400 438 472	875388554792