Prime p₀= 509503431069664277 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 22 2 58 2 88 2 28 2 (?)
a_n: 0 2 30 32 54 56 114 116 204 206 234 236
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: 236
Found by: Egon olsen
db: batch=71, k=12, 28 22 58 88 28

SPT(14)	509503366516738973	0 56 60 126 140 170 186 218 234 264 278 344 348 404	-64552925304
SPT(14)	509503374365721977	0 26 54 114 150 152 212 234 294 296 332 392 420 446	-56703942300
SPT(16)	509503374792882887	0 6 14 30 36 44 50 114 152 216 222 230 236 252 260 266	-56276781390
SPT(14)	509503385332709767	0 6 42 46 70 90 126 136 172 192 216 220 256 262	-45736954510
SPT(14)	509503403254386977	0 20 24 30 50 66 102 104 140 156 176 182 186 206	-27815277300
SPT(14)	509503403393727497	0 6 20 24 44 66 72 74 80 102 122 126 140 146	-27675936780
SPT(14)	509503448953835191	0 6 30 36 48 60 108 168 216 228 240 246 270 276	17884170914
SPT(14)	509503449095075969	0 32 114 128 132 150 158 174 182 200 204 218 300 332	18025411692
SPT(14)	509503482012959251	0 10 16 42 52 60 70 72 82 90 100 126 132 142	50943294974
SPT(14)	509503502335769023	0 4 46 70 124 136 150 154 168 180 234 258 300 304	71266104746
TPT(12)	509503504800024281	0 2 120 122 198 200 240 242 378 380 390 392	73730360004