Prime p₀= 1037995989096766571 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 28 2 160 2 28 2 16 2 (?)
a_n: 0 2 18 20 48 50 210 212 240 242 258 260
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: 260
Found by: Theadalus
db: batch=76, k=12, 2 16 2 28 2 160

STPT(10)	1037995335838914161	0 2 36 38 78 80 120 122 156 158	-653257852410
STPT(10)	1037995588569064421	0 2 6 8 18 20 30 32 36 38	-400527702150
SPT(16)	1037995590995535013	0 28 46 48 88 100 106 114 160 168 174 186 226 228 246 274	-398101231558
STPT(10)	1037995906186152437	0 2 30 32 42 44 54 56 84 86	-82910614134
SPT(16)	1037995935995826341	0 36 50 80 128 156 186 206 210 230 260 288 336 366 380 416	-53100940230
SPT(16)	1037995985716360213	0 4 46 70 96 214 244 256 288 300 330 448 474 498 540 544	-3380406358
STPT(10)	1037996133363421751	0 2 78 80 138 140 198 200 276 278	144266655180
SPT(16)	1037996408538460691	0 50 62 66 80 90 92 140 168 216 218 228 242 246 258 308	419441694120
SPT(16)	1037996601028077853	0 4 10 28 66 78 84 100 114 130 136 148 186 204 210 214	611931311282
STPT(10)	1037996709441265829	0 2 12 14 90 92 168 170 180 182	720344499258
SPT(16)	1037996794069576619	0 80 122 152 174 258 278 368 384 474 494 578 600 630 672 752	804972810048