Prime p₀= 2025724025830143701 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 46 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 108 110 150 152 168 170
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: 170
Found by: Dingo
db: batch=80, k=12, 2 16 2 40 2 46

STPT(10)	2025722247416431379	0 2 12 14 30 32 48 50 60 62	-1778413712322
SPT(16)	2025722307265443307	0 30 52 72 82 126 132 156 160 184 190 234 244 264 286 316	-1718564700394
STPT(10)	2025722368020665099	0 2 42 44 120 122 198 200 240 242	-1657809478602
TPT(14)	2025722368020665099	0 2 42 44 120 122 198 200 240 242 258 260 288 290	-1657809478602
SPT(16)	2025722789794282627	0 12 46 94 130 166 210 256 300 346 390 426 462 510 544 556	-1236035861074
SPT(16)	2025723135767809301	0 32 96 98 140 162 182 192 236 246 266 288 330 332 396 428	-890062334400
STPT(10)	2025724354064560727	0 2 30 32 42 44 54 56 84 86	328234417026
SPT(16)	2025724374214446197	0 32 36 42 56 66 96 152 174 230 260 270 284 290 294 326	348384302496
STPT(10)	2025724425417579317	0 2 54 56 72 74 90 92 144 146	399587435616
STPT(10)	2025724433155130567	0 2 30 32 72 74 114 116 144 146	407324986866
STPT(10)	2025724560319188257	0 2 12 14 42 44 72 74 84 86	534489044556