Prime p₀= 2023628503167115487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 106 2 28 2 40 2 16 2 (?)
a_n: 0 2 54 56 84 86 192 194 222 224 264 266 282 284
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 284
Found by: CoolAtchOk
db: batch=80, k=14, 52 28 106 28 40 16

SPT(16)	2023627780169171549	0 24 38 62 74 92 114 150 182 218 240 258 270 294 308 332	-722997943938
SPT(16)	2023627857483270539	0 12 30 44 68 90 92 120 152 180 182 204 228 242 260 272	-645683844948
SPT(16)	2023627864072015837	0 72 132 160 166 174 184 210 226 252 262 270 276 304 364 436	-639095099650
STPT(10)	2023627931410730147	0 2 24 26 42 44 60 62 84 86	-571756385340
SPT(16)	2023627994440764853	0 18 40 58 96 136 138 154 180 196 198 238 276 294 316 334	-508726350634
STPT(10)	2023628321569788749	0 2 12 14 30 32 48 50 60 62	-181597326738
SPT(16)	2023628563893692779	0 34 72 112 150 162 174 184 210 220 232 244 282 322 360 394	60726577292
STPT(10)	2023628677595337677	0 2 42 44 72 74 102 104 144 146	174428222190
SPT(16)	2023628854128508387	0 12 22 46 76 90 154 160 216 222 286 300 330 354 364 376	350961392900
SPT(16)	2023628983451314339	0 22 70 88 94 100 112 130 132 150 162 168 174 192 240 262	480284198852
SPT(16)	2023629321505314349	0 124 138 150 162 178 204 228 274 298 324 340 352 364 378 502	818338198862