Prime p₀= 800444770201855949 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: Paul
db: batch=73, k=10, 2 16 2 10 2

STPT(10)	800444311098782759	0 2 48 50 90 92 132 134 180 182	-459103073190
SPT(16)	800444482842673579	0 52 82 88 108 120 130 144 148 162 172 184 204 210 240 292	-287359182370
SPT(16)	800444509931305807	0 22 36 46 64 66 84 112 144 172 190 192 210 220 234 256	-260270550142
SPT(16)	800444554447626113	0 44 78 90 110 120 138 146 168 176 194 204 224 236 270 314	-215754229836
STPT(10)	800444658675199607	0 2 24 26 42 44 60 62 84 86	-111526656342
STPT(10)	800444749942438199	0 2 18 20 30 32 42 44 60 62	-20259417750
SPT(16)	800444924352025969	0 4 22 42 84 102 150 162 220 232 280 298 340 360 378 382	154150170020
STPT(10)	800444953677771341	0 2 30 32 60 62 90 92 120 122	183475915392
SPT(16)	800445365422385983	0 54 70 76 94 114 130 136 174 180 196 216 234 240 256 310	595220530034
STPT(10)	800445425299226207	0 2 12 14 72 74 132 134 144 146	655097370258
SPT(16)	800445469839522623	0 6 56 74 78 114 116 158 186 228 230 266 270 288 338 344	699637666674