Prime p₀= 2140800609268231787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Time_Traveler
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2140799749514587771	0 30 100 108 120 168 186 190 228 232 250 298 310 318 388 418	-859753644016
SPT(16)	2140800202620278527	0 66 94 130 136 174 184 186 250 252 262 300 306 342 370 436	-406647953260
SPT(16)	2140800212425525753	0 34 76 88 100 124 166 186 238 258 300 324 336 348 390 424	-396842706034
SPT(16)	2140800273663273479	0 8 24 48 80 104 134 164 234 264 294 318 350 374 390 398	-335604958308
SPT(16)	2140800405443189069	0 38 42 68 104 140 182 194 228 240 282 318 354 380 384 422	-203825042718
TPT(14)	2140800541506151169	0 2 30 32 72 74 108 110 210 212 348 350 360 362	-67762080618
SPT(16)	2140800743423167601	0 62 122 140 146 156 180 206 216 242 266 276 282 300 360 422	134154935814
STPT(10)	2140800882333794711	0 2 30 32 60 62 90 92 120 122	273065562924
STPT(10)	2140801853247655781	0 2 30 32 120 122 210 212 240 242	1243979423994
TPT(14)	2140802067457449701	0 2 6 8 30 32 126 128 138 140 186 188 270 272	1458189217914
STPT(10)	2140802189345057141	0 2 36 38 78 80 120 122 156 158	1580076825354