Prime p₀= 957098656567042901 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: HenkM
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	957097406544443441	0 78 102 140 162 170 182 186 212 216 228 236 258 296 320 398	-1250022599460
SPT(16)	957097522714705147	0 42 52 66 102 112 130 136 150 156 174 184 220 234 244 286	-1133852337754
STPT(10)	957097721135592731	0 2 36 38 78 80 120 122 156 158	-935431450170
STPT(10)	957097761483461699	0 2 48 50 90 92 132 134 180 182	-895083581202
STPT(10)	957097886445791897	0 2 42 44 72 74 102 104 144 146	-770121251004
SPT(16)	957098608551870341	0 56 72 98 102 116 126 146 252 272 282 296 300 326 342 398	-48015172560
STPT(10)	957098692528581917	0 2 12 14 42 44 72 74 84 86	35961539016
SPT(16)	957098812972737823	0 34 64 120 124 148 180 196 258 274 306 330 334 390 420 454	156405694922
SPT(16)	957099260825842369	0 4 28 30 132 144 148 204 208 264 268 280 382 384 408 412	604258799468
SPT(18)	957099325331019737	0 60 72 86 102 104 126 132 144 152 164 170 192 194 210 224 236 296	668763976836
SPT(13)	957099332151538789	0 12 24 42 54 90 132 174 210 222 240 252 264	675584495888