Prime p₀= 1122864940621580657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: crashtech
db: batch=76, k=10, 2 10 2 58 2

TPT(14)	1122864341673910349	0 2 42 44 90 92 138 140 192 194 222 224 252 254	-598947670308
SPT(16)	1122864449155939757	0 12 42 50 54 56 92 116 120 144 180 182 186 194 224 236	-491465640900
SPT(16)	1122864460653037387	0 22 64 76 82 94 96 120 136 160 162 174 180 192 234 256	-479968543270
SPT(16)	1122864621014008447	0 12 66 94 102 150 172 196 210 234 256 304 312 340 394 406	-319607572210
STPT(10)	1122864624980215847	0 2 30 32 72 74 114 116 144 146	-315641364810
SPT(16)	1122864648802965317	0 6 14 30 44 54 90 96 104 110 146 156 170 186 194 200	-291818615340
SPT(16)	1122864949708393079	0 12 114 122 128 168 180 192 200 212 224 264 270 278 380 392	9086812422
STPT(12)	1122865070726039567	0 2 54 56 90 92 174 176 210 212 264 266	130104458910
SPT(16)	1122865500023662697	0 24 26 42 66 96 110 122 144 156 170 200 224 240 242 266	559402082040
STPT(10)	1122865560897153257	0 2 30 32 60 62 90 92 120 122	620275572600
STPT(10)	1122865910946969179	0 2 48 50 90 92 132 134 180 182	970325388522