Prime p₀= 2159975679383892281 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 70 2 64 2 70 2 16 2 (?)
a_n: 0 2 18 20 90 92 156 158 228 230 246 248
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: 248
Found by: Landjunge
db: batch=81, k=12, 2 16 2 70 2 64

SPT(16)	2159974277486788759	0 28 84 94 112 148 154 210 232 288 294 330 348 358 414 442	-1401897103522
STPT(10)	2159974613172801791	0 2 36 38 78 80 120 122 156 158	-1066211090490
SPT(16)	2159974710752531599	0 112 114 124 180 222 234 240 262 268 280 322 378 388 390 502	-968631360682
STPT(12)	2159975384343007277	0 2 12 14 54 56 90 92 132 134 144 146	-295040885004
STPT(10)	2159975518501913009	0 2 18 20 60 62 102 104 120 122	-160881979272
STPT(10)	2159975583836844209	0 2 42 44 60 62 78 80 120 122	-95547048072
SPT(16)	2159975963454966647	0 86 110 162 176 212 242 246 260 264 294 330 344 396 420 506	284071074366
SPT(16)	2159976227290127227	0 34 72 102 120 150 156 172 174 190 196 226 244 274 312 346	547906234946
SPT(16)	2159976869602576333	0 36 46 66 106 108 150 166 168 184 226 228 268 288 298 334	1190218684052
STPT(10)	2159976880530154757	0 2 30 32 42 44 54 56 84 86	1201146262476
STPT(10)	2159977026915917777	0 2 12 14 42 44 72 74 84 86	1347532025496