Prime p₀= 1623561774677900597 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 136 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 180 182 210 212 222 224
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: 224
Found by: biodoc
db: batch=78, k=12, 2 10 2 28 2 136

TPT(14)	1623561035203659779	0 2 42 44 108 110 120 122 138 140 300 302 342 344	-739474240818
SPT(16)	1623561359536612739	0 8 20 38 42 48 74 104 138 168 194 200 204 222 234 242	-415141287858
STPT(10)	1623561383432882207	0 2 30 32 72 74 114 116 144 146	-391245018390
SPT(16)	1623561451380271127	0 6 20 36 50 62 96 104 132 140 174 186 200 216 230 236	-323297629470
STPT(10)	1623561467541899657	0 2 90 92 102 104 114 116 204 206	-307136000940
SPT(16)	1623561577105375729	0 22 34 64 70 94 132 148 204 220 258 282 288 318 330 352	-197572524868
STPT(10)	1623561896038526627	0 2 30 32 42 44 54 56 84 86	121360626030
TPT(14)	1623561923420852267	0 2 54 56 72 74 150 152 264 266 294 296 444 446	148742951670
SPT(16)	1623561999519058913	0 56 110 138 144 146 158 164 300 306 318 320 326 354 408 464	224841158316
STPT(10)	1623562139439020201	0 2 36 38 78 80 120 122 156 158	364761119604
STPT(10)	1623562155277373291	0 2 30 32 78 80 126 128 156 158	380599472694