Prime p₀= 1025419747426270121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: HenkM
db: batch=76, k=10, 2 28 2 46 2

STPT(10)	1025419325534662151	0 2 36 38 78 80 120 122 156 158	-421891607970
STPT(10)	1025419395134992937	0 2 60 62 102 104 144 146 204 206	-352291277184
SPT(16)	1025419414592390887	0 6 66 70 90 124 144 202 234 292 312 346 366 370 430 436	-332833879234
SPT(16)	1025419481822849467	0 4 72 102 126 154 162 186 250 274 282 310 334 364 432 436	-265603420654
SPT(16)	1025419695113285203	0 4 36 54 70 88 106 114 130 138 156 174 190 208 240 244	-52312984918
STPT(12)	1025419731790235459	0 2 12 14 42 44 198 200 228 230 240 242	-15636034662
STPT(10)	1025419953850262021	0 2 6 8 18 20 30 32 36 38	206423991900
SPT(16)	1025420031620583551	0 8 36 38 72 96 108 116 162 170 182 206 240 242 270 278	284194313430
SPT(16)	1025420367924468727	0 22 52 70 72 100 124 180 334 390 414 442 444 462 492 514	620498198606
STPT(10)	1025420477049575609	0 2 30 32 60 62 90 92 120 122	729623305488
STPT(10)	1025420594341942607	0 2 54 56 72 74 90 92 144 146	846915672486