Prime p₀= 1087322398603409081 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: crashtech
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1087321811101994551	0 18 30 88 118 166 196 210 226 240 270 318 348 406 418 436	-587501414530
SPT(16)	1087321907516036683	0 10 28 58 60 84 88 106 108 126 130 154 156 186 204 214	-491087372398
SPT(18)	1087321912698382799	0 14 54 92 102 144 224 228 260 312 344 348 428 470 480 518 558 572	-485905026282
STPT(10)	1087322018298720857	0 2 30 32 120 122 210 212 240 242	-380304688224
SPT(16)	1087322292368644169	0 8 32 38 54 62 80 120 122 162 180 188 204 210 234 242	-106234764912
TPT(14)	1087322300769224237	0 2 84 86 102 104 144 146 180 182 240 242 252 254	-97834184844
SPT(16)	1087322432573746753	0 40 48 90 96 114 118 160 174 216 220 238 244 286 294 334	33970337672
SPT(16)	1087322468693247887	0 14 20 36 44 60 72 74 102 104 116 132 140 156 162 176	70089838806
SPT(16)	1087323302013244937	0 6 26 56 72 110 116 146 180 210 216 254 270 300 320 326	903409835856
SPT(16)	1087323414375753691	0 6 36 42 52 76 90 100 132 142 156 180 190 196 226 232	1015772344610
TPT(14)	1087323664099085051	0 2 36 38 90 92 156 158 198 200 216 218 288 290	1265495675970