Prime p₀= 2833157688117149711 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 70 2 70 2 34 2 (?)
a_n: 0 2 36 38 108 110 180 182 216 218
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: 218
Found by: Coleslaw
db: batch=82, k=10, 2 34 2 70 2

SPT(16)	2833156194113724217	0 12 22 30 70 102 124 180 274 330 352 384 424 432 442 454	-1494003425494
STPT(10)	2833156332531959279	0 2 18 20 30 32 42 44 60 62	-1355585190432
STPT(10)	2833156555934934077	0 2 30 32 60 62 90 92 120 122	-1132182215634
SPT(16)	2833156865312849969	0 18 38 90 104 138 192 222 230 260 314 348 362 414 434 452	-822804299742
STPT(10)	2833156901675929061	0 2 36 38 78 80 120 122 156 158	-786441220650
TPT(14)	2833157178053532101	0 2 48 50 90 92 120 122 126 128 228 230 270 272	-510063617610
SPT(16)	2833158433977247193	0 20 30 38 96 108 110 140 156 186 188 200 258 266 276 296	745860097482
SPT(16)	2833158604243967203	0 40 46 66 94 96 100 106 144 150 154 156 184 204 210 250	916126817492
SPT(16)	2833158733229263979	0 2 14 18 68 80 128 168 404 444 492 504 554 558 570 572	1045112114268
SPT(16)	2833158926676949853	0 50 56 86 108 138 146 164 180 198 206 236 258 288 294 344	1238559800142
TPT(14)	2833158932362958471	0 2 18 20 96 98 126 128 150 152 156 158 240 242	1244245808760