Prime p₀= 2378029794722717621 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 36 38 48 50 78 80 90 92 126 128
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: 128
Found by: [AF>Amis des Lapins] Fredjke
db: batch=81, k=12, 2 34 2 10 2 28

SPT(16)	2378028942933759953	0 8 78 96 206 210 248 258 266 276 314 318 428 446 516 524	-851788957668
SPT(16)	2378029060808082797	0 24 56 92 122 140 150 162 194 206 216 234 264 300 332 356	-733914634824
SPT(16)	2378029115947392071	0 2 50 90 120 180 182 272 288 378 380 440 470 510 558 560	-678775325550
SPT(16)	2378029566350752967	0 2 14 20 32 56 60 72 104 116 120 144 156 162 174 176	-228371964654
STPT(10)	2378029604566694927	0 2 30 32 60 62 90 92 120 122	-190156022694
STPT(10)	2378029638136423889	0 2 48 50 60 62 72 74 120 122	-156586293732
TPT(14)	2378029889361858581	0 2 66 68 120 122 126 128 168 170 246 248 300 302	94639140960
STPT(10)	2378029994640785057	0 2 60 62 72 74 84 86 144 146	199918067436
STPT(10)	2378030111983939451	0 2 96 98 108 110 120 122 216 218	317261221830
SPT(16)	2378030194006342831	0 16 28 42 82 90 130 132 196 198 238 246 286 300 312 328	399283625210
SPT(16)	2378030379924775993	0 6 28 46 88 96 106 118 126 138 148 156 198 216 238 244	585202058372