Prime p₀= 2066067848053434101 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: Landjunge
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2066066816773889537	0 20 44 150 230 264 300 326 390 416 452 486 566 672 696 716	-1031279544564
SPT(16)	2066067001175124329	0 2 62 74 104 110 114 132 152 170 174 180 210 222 282 284	-846878309772
STPT(10)	2066067374927472911	0 2 36 38 78 80 120 122 156 158	-473125961190
SPT(16)	2066067447951164419	0 58 60 84 100 114 150 154 168 172 208 222 238 262 264 322	-400102269682
SPT(16)	2066067606956749507	0 34 72 90 100 114 166 210 226 270 322 336 346 364 402 436	-241096684594
SPT(16)	2066067824776530767	0 14 24 36 44 90 126 134 162 170 206 252 260 272 282 296	-23276903334
SPT(16)	2066068043730653497	0 22 30 66 96 112 120 126 190 196 204 220 250 286 294 316	195677219396
SPT(16)	2066068373252471527	0 34 36 46 52 150 154 172 174 192 196 294 300 310 312 346	525199037426
STPT(10)	2066068490737985441	0 2 30 32 120 122 210 212 240 242	642684551340
TPT(14)	2066068689638179199	0 2 78 80 210 212 240 242 282 284 318 320 372 374	841584745098
STPT(10)	2066069079447590219	0 2 30 32 60 62 90 92 120 122	1231394156118