Prime p₀= 1006230442959666017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Theadalus
db: batch=76, k=10, 2 28 2 28 2

STPT(10)	1006229222423346749	0 2 42 44 60 62 78 80 120 122	-1220536319268
SPT(16)	1006229510866055197	0 22 94 112 124 142 150 156 190 196 204 222 234 252 324 346	-932093610820
SPT(16)	1006229563320893539	0 40 70 78 112 124 132 162 220 250 258 270 304 312 342 382	-879638772478
SPT(16)	1006230154969575149	0 14 78 80 102 120 150 188 204 242 272 290 312 314 378 392	-287990090868
STPT(10)	1006230215381348099	0 2 18 20 30 32 42 44 60 62	-227578317918
SPT(16)	1006230438475997173	0 6 46 54 148 160 204 244 300 340 384 396 490 498 538 544	-4483668844
SPT(16)	1006230693993040897	0 30 52 66 94 112 154 156 190 192 234 252 280 294 316 346	251033374880
STPT(10)	1006230811589845481	0 2 6 8 48 50 90 92 96 98	368630179464
SPT(16)	1006230965388883727	0 6 30 62 72 84 96 114 122 140 152 164 174 206 230 236	522429217710
TPT(14)	1006231167262496339	0 2 90 92 132 134 150 152 168 170 180 182 222 224	724302830322
STPT(10)	1006231652248820279	0 2 42 44 60 62 78 80 120 122	1209289154262