Prime p₀= 2116209929696185709 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 4 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 78 80 138 140 150 152
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 152
Found by: Landjunge
db: batch=80, k=12, 2 10 2 58 2 4

SPT(16)	2116208070827565367	0 16 66 70 90 156 160 162 184 186 190 256 276 280 330 346	-1858868620342
SPT(16)	2116208290667855779	0 22 64 84 94 120 160 202 240 282 322 348 358 378 420 442	-1639028329930
SPT(16)	2116208651297994263	0 80 90 174 194 204 216 264 416 464 476 486 506 590 600 680	-1278398191446
STPT(10)	2116208943479590871	0 2 6 8 18 20 30 32 36 38	-986216594838
SPT(16)	2116209558259366379	0 14 18 20 32 38 62 78 104 120 144 150 162 164 168 182	-371436819330
STPT(12)	2116209645547963289	0 2 30 32 42 44 120 122 132 134 162 164	-284148222420
SPT(16)	2116210064397148123	0 108 118 148 166 174 180 196 228 244 250 258 276 306 316 424	134700962414
SPT(16)	2116210636243641599	0 12 44 48 72 74 84 114 158 188 198 200 224 228 260 272	706547455890
SPT(16)	2116210869891523919	0 24 92 122 174 224 230 254 258 282 288 338 390 420 488 512	940195338210
SPT(16)	2116211326496728091	0 12 38 42 78 92 108 122 168 182 198 212 248 252 278 290	1396800542382
SPT(16)	2116211380663888763	0 50 98 120 140 224 234 248 276 290 300 384 404 426 474 524	1450967703054