Prime p₀= 1020165220231537277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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 58 2 10 2

TPT(14)	1020164038525581317	0 2 144 146 210 212 222 224 294 296 432 434 450 452	-1181705955960
SPT(16)	1020164225244715261	0 6 28 40 100 118 120 162 166 208 210 228 288 300 322 328	-994986822016
SPT(16)	1020164229984860083	0 6 58 60 84 90 96 118 126 148 154 160 184 186 238 244	-990246677194
SPT(16)	1020164365689204007	0 16 24 34 60 72 96 112 114 130 154 166 192 202 210 226	-854542333270
SPT(16)	1020164530016664209	0 42 60 90 104 114 134 150 182 198 218 228 242 272 290 332	-690214873068
SPT(16)	1020164682358420981	0 12 42 76 78 126 132 162 166 196 202 250 252 286 316 328	-537873116296
STPT(10)	1020166047739834241	0 2 36 38 78 80 120 122 156 158	827508296964
SPT(16)	1020166440777021893	0 20 36 90 104 108 186 200 234 248 326 330 344 398 414 434	1220545484616
SPT(16)	1020167098626703171	0 18 58 72 96 100 102 118 210 226 228 232 256 270 310 328	1878395165894
STPT(10)	1020167511959610197	0 2 30 32 42 44 54 56 84 86	2291728072920
STPT(10)	1020167650989838787	0 2 42 44 72 74 102 104 144 146	2430758301510