Prime p₀= 2158003358006599877 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: Landjunge
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2158003085800340281	0 42 48 100 150 156 166 202 216 252 262 268 318 370 376 418	-272206259596
SPT(16)	2158003088009824441	0 42 52 78 130 148 180 228 232 280 312 330 382 408 418 460	-269996775436
STPT(10)	2158003100491390049	0 2 18 20 30 32 42 44 60 62	-257515209828
SPT(16)	2158003179715565513	0 8 14 18 50 108 134 140 168 174 200 258 290 294 300 308	-178291034364
TPT(14)	2158003212405628277	0 2 30 32 60 62 84 86 132 134 180 182 222 224	-145600971600
TPT(14)	2158003215958342997	0 2 114 116 210 212 234 236 252 254 264 266 312 314	-142048256880
STPT(10)	2158004302306754357	0 2 30 32 42 44 54 56 84 86	944300154480
STPT(10)	2158004854881113657	0 2 12 14 42 44 72 74 84 86	1496874513780
SPT(16)	2158005071491679737	0 46 52 70 160 186 192 244 312 364 370 396 486 504 510 556	1713485079860
STPT(10)	2158005369714148457	0 2 24 26 42 44 60 62 84 86	2011707548580
SPT(16)	2158005402016046939	0 20 44 54 72 110 122 140 222 240 252 290 308 318 342 362	2044009447062