Prime p₀= 1126496006560224101 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: crashtech
db: batch=76, k=10, 2 4 2 40 2

SPT(16)	1126495549280516447	0 14 30 44 92 114 140 152 162 174 200 222 270 284 300 314	-457279707654
SPT(16)	1126495679241830221	0 58 70 106 120 126 130 136 162 168 172 178 192 228 240 298	-327318393880
STPT(10)	1126495765818711329	0 2 18 20 30 32 42 44 60 62	-240741512772
SPT(16)	1126495865286745799	0 18 20 30 42 68 72 84 158 170 174 200 212 222 224 242	-141273478302
TPT(14)	1126495880992278497	0 2 30 32 114 116 120 122 162 164 180 182 192 194	-125567945604
STPT(10)	1126495926695296457	0 2 24 26 42 44 60 62 84 86	-79864927644
SPT(16)	1126496014850576683	0 34 106 108 120 136 148 174 190 216 228 244 256 258 330 364	8290352582
STPT(10)	1126496133145218497	0 2 54 56 132 134 210 212 264 266	126584994396
SPT(16)	1126496971172924489	0 8 12 14 20 48 78 110 132 164 194 222 228 230 234 242	964612700388
STPT(10)	1126496984317485239	0 2 18 20 30 32 42 44 60 62	977757261138
SPT(16)	1126497032172511799	0 24 38 42 48 60 74 90 92 108 122 134 140 144 158 182	1025612287698