Prime p₀= 2034972070572969557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Dingo
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2034971034021253589	0 2 48 50 60 62 72 74 120 122	-1036551715968
SPT(16)	2034971540169748469	0 14 18 42 92 108 122 150 182 210 224 240 290 314 318 332	-530403221088
SPT(16)	2034971760507235117	0 54 72 96 100 106 184 210 226 252 330 336 340 364 382 436	-310065734440
SPT(16)	2034971762020382167	0 10 42 54 76 136 154 156 160 162 180 240 262 274 306 316	-308552587390
SPT(16)	2034971837582818201	0 12 22 72 88 106 118 138 190 210 222 240 256 306 316 328	-232990151356
STPT(10)	2034971883550589309	0 2 18 20 30 32 42 44 60 62	-187022380248
SPT(16)	2034972162550180787	0 24 30 50 84 86 96 126 164 194 204 206 240 260 266 290	91977211230
SPT(16)	2034972251126734807	0 30 82 90 156 180 216 226 240 250 286 310 376 384 436 466	180553765250
STPT(10)	2034972276758615267	0 2 54 56 132 134 210 212 264 266	206185645710
SPT(16)	2034972321444918839	0 14 32 78 98 110 120 128 144 152 162 174 194 240 258 272	250871949282
SPT(16)	2034972529308322213	0 16 18 54 58 64 70 78 106 114 120 126 130 166 168 184	458735352656