Prime p₀= 4503874792027894649 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 46 2 28 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 120 122 168 170 210 212
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: 212
Found by: Antares2022
db: batch=85, k=12, 2 40 2 46 2 28

SPT(16)	4503873887365133591	0 128 176 182 198 200 206 216 242 252 258 260 276 282 330 458	-904662761058
TPT(14)	4503873967609848257	0 2 54 56 72 74 114 116 240 242 282 284 360 362	-824418046392
SPT(16)	4503874055639180921	0 18 30 86 96 108 116 140 156 180 188 200 210 266 278 296	-736388713728
STPT(10)	4503874407191160899	0 2 18 20 30 32 42 44 60 62	-384836733750
SPT(16)	4503874409306149609	0 12 40 58 144 154 162 168 184 190 198 208 294 312 340 352	-382721745040
STPT(10)	4503874590529178231	0 2 6 8 48 50 90 92 96 98	-201498716418
SPT(16)	4503875064106403527	0 54 76 90 120 124 156 166 234 244 276 280 310 324 346 400	272078508878
SPT(16)	4503875355432077167	0 12 30 64 76 102 112 142 144 174 184 210 222 256 274 286	563404182518
STPT(10)	4503875392988114291	0 2 36 38 78 80 120 122 156 158	600960219642
SPT(16)	4503875404696724933	0 48 50 60 86 90 114 126 248 260 284 288 314 324 326 374	612668830284
STPT(10)	4503875449222432037	0 2 42 44 72 74 102 104 144 146	657194537388