Prime p₀= 1092024646667346989 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: stoneageman
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	1092023598284988511	0 28 58 70 76 126 148 168 220 240 262 312 318 330 360 388	-1048382358478
STPT(10)	1092023721769929197	0 2 12 14 72 74 132 134 144 146	-924897417792
SPT(16)	1092023777157016513	0 10 36 40 60 96 118 186 238 306 328 364 384 388 414 424	-869510330476
SPT(16)	1092024039476980889	0 30 38 48 144 158 212 224 258 270 324 338 434 444 452 482	-607190366100
STPT(10)	1092024326989969127	0 2 30 32 42 44 54 56 84 86	-319677377862
STPT(10)	1092024399185298167	0 2 30 32 42 44 54 56 84 86	-247482048822
STPT(10)	1092024990827190419	0 2 18 20 30 32 42 44 60 62	344159843430
SPT(16)	1092025244638188241	0 30 40 42 72 90 106 118 120 132 148 166 196 198 208 238	597970841252
SPT(16)	1092025360887669683	0 24 54 60 68 74 98 126 128 156 180 186 194 200 230 254	714220322694
SPT(16)	1092026313444984223	0 40 48 70 76 78 88 138 196 246 256 258 264 286 294 334	1666777637234
STPT(10)	1092026523917553221	0 2 6 8 48 50 90 92 96 98	1877250206232