Prime p₀= 1020167650989838787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: HenkM
db: batch=76, k=10, 2 40 2 28 2

SPT(16)	1020164682358420981	0 12 42 76 78 126 132 162 166 196 202 250 252 286 316 328	-2968631417806
STPT(10)	1020165220231537277	0 2 60 62 72 74 84 86 144 146	-2430758301510
STPT(10)	1020166047739834241	0 2 36 38 78 80 120 122 156 158	-1603250004546
SPT(16)	1020166440777021893	0 20 36 90 104 108 186 200 234 248 326 330 344 398 414 434	-1210212816894
SPT(16)	1020167098626703171	0 18 58 72 96 100 102 118 210 226 228 232 256 270 310 328	-552363135616
STPT(10)	1020167511959610197	0 2 30 32 42 44 54 56 84 86	-139030228590
STPT(10)	1020167711982198677	0 2 60 62 72 74 84 86 144 146	60992359890
SPT(16)	1020167717135165117	0 26 30 36 54 56 72 114 122 164 180 182 200 206 210 236	66145326330
SPT(16)	1020167717859910561	0 30 76 78 88 120 130 138 148 156 166 198 208 210 256 286	66870071774
STPT(10)	1020167890033638251	0 2 6 8 48 50 90 92 96 98	239043799464
SPT(16)	1020168149452701973	0 10 70 76 84 136 154 166 204 216 234 286 294 300 360 370	498462863186