Prime p₀= 1268597192395841981 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: Megacruncher
db: batch=77, k=10, 2 28 2 46 2

SPT(16)	1268595524594815049	0 2 8 14 50 54 72 90 92 110 128 132 168 174 180 182	-1667801026932
STPT(10)	1268595847555125077	0 2 42 44 102 104 162 164 204 206	-1344840716904
SPT(16)	1268596310053924541	0 6 50 96 158 180 188 198 200 210 218 240 302 348 392 398	-882341917440
STPT(10)	1268596710524692091	0 2 6 8 48 50 90 92 96 98	-481871149890
SPT(16)	1268596777315397239	0 28 40 58 72 112 120 138 184 202 210 250 264 282 294 322	-415080444742
SPT(16)	1268596887233688329	0 18 48 78 84 98 168 188 240 260 330 344 350 380 410 428	-305162153652
SPT(16)	1268597605087233271	0 6 12 22 70 82 112 142 180 210 240 252 300 310 316 322	412691391290
STPT(10)	1268597671798418321	0 2 6 8 48 50 90 92 96 98	479402576340
SPT(16)	1268597775652940377	0 12 36 106 190 220 232 276 280 324 336 366 450 520 544 556	583257098396
SPT(16)	1268597959729252151	0 2 30 42 68 102 108 140 168 200 206 240 266 278 306 308	767333410170
STPT(10)	1268598120940072421	0 2 36 38 78 80 120 122 156 158	928544230440