Prime p₀= 2021013613805556947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: Dingo
db: batch=80, k=10, 2 40 2 88 2

TPT(14)	2021012294759040797	0 2 12 14 42 44 84 86 90 92 144 146 222 224	-1319046516150
TPT(14)	2021012316579046517	0 2 60 62 114 116 150 152 210 212 270 272 282 284	-1297226510430
SPT(16)	2021012441751477883	0 16 36 48 60 76 106 118 186 198 228 244 256 268 288 304	-1172054079064
SPT(16)	2021012448267231833	0 18 30 44 120 128 164 170 198 204 240 248 324 338 350 368	-1165538325114
SPT(16)	2021013458287444123	0 24 40 54 60 70 88 94 174 180 198 208 214 228 244 268	-155518112824
SPT(16)	2021013478446125563	0 10 28 36 46 114 154 166 168 180 220 288 298 306 324 334	-135359431384
SPT(16)	2021013721602136717	0 4 24 54 70 100 144 154 180 190 234 264 280 310 330 334	107796579770
STPT(10)	2021013824271253697	0 2 30 32 42 44 54 56 84 86	210465696750
SPT(16)	2021014325996913287	0 42 62 102 104 176 204 210 236 242 270 342 344 384 404 446	712191356340
STPT(10)	2021014354644622121	0 2 36 38 78 80 120 122 156 158	740839065174
SPT(16)	2021014540421767301	0 92 98 110 132 168 176 180 218 222 230 266 288 300 306 398	926616210354