Prime p₀= 3031620436736430359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: Alnitak2019
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	3031619501356456429	0 18 28 52 58 70 72 94 108 130 132 144 150 174 184 202	-935379973930
STPT(10)	3031619810991308357	0 2 60 62 72 74 84 86 144 146	-625745122002
STPT(10)	3031620066098964929	0 2 78 80 120 122 162 164 240 242	-370637465430
SPT(16)	3031620095899399273	0 24 34 40 54 64 70 90 100 120 126 136 150 156 166 190	-340837031086
STPT(10)	3031620172727753609	0 2 30 32 60 62 90 92 120 122	-264008676750
SPT(16)	3031620378388071937	0 54 82 120 124 132 190 220 276 306 364 372 376 414 442 496	-58348358422
SPT(16)	3031620812307777269	0 20 60 84 114 144 158 170 198 210 224 254 284 308 348 368	375571346910
SPT(16)	3031621399928706359	0 68 84 90 162 164 180 194 258 272 288 290 362 368 384 452	963192276000
SPT(16)	3031621423717951243	0 18 54 168 186 208 214 216 238 240 246 268 286 400 436 454	986981520884
STPT(10)	3031621846851980687	0 2 30 32 42 44 54 56 84 86	1410115550328
TPT(14)	3031622006405329019	0 2 12 14 18 20 48 50 72 74 198 200 390 392	1569668898660