Prime p₀= 2287755958061644457 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: JayPi
db: batch=81, k=12, 2 28 2 28 2 10

SPT(16)	2287753839483726157	0 10 24 42 66 84 90 126 130 166 172 190 214 232 246 256	-2118577918300
STPT(10)	2287753983386055029	0 2 18 20 30 32 42 44 60 62	-1974675589428
SPT(16)	2287754411738977981	0 16 30 60 66 90 100 118 210 228 238 262 268 298 312 328	-1546322666476
STPT(10)	2287754646325434491	0 2 6 8 18 20 30 32 36 38	-1311736209966
SPT(16)	2287754852546064989	0 24 44 80 92 114 128 150 182 204 218 240 252 288 308 332	-1105515579468
STPT(10)	2287755410711869079	0 2 18 20 60 62 102 104 120 122	-547349775378
SPT(16)	2287756259120587501	0 12 72 88 96 148 186 190 228 232 270 322 330 346 406 418	301058943044
SPT(16)	2287756319221860857	0 30 62 80 86 96 110 140 156 186 200 210 216 234 266 296	361160216400
STPT(10)	2287756353176002127	0 2 12 14 42 44 72 74 84 86	395114357670
STPT(10)	2287756424460960377	0 2 12 14 42 44 72 74 84 86	466399315920
STPT(10)	2287756457540147861	0 2 36 38 78 80 120 122 156 158	499478503404