Prime p₀= 1213038144524369039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Theadalus
db: batch=77, k=10, 2 28 2 28 2

STPT(10)	1213037349569245139	0 2 30 32 60 62 90 92 120 122	-794955123900
SPT(16)	1213037420433109207	0 16 30 52 70 96 100 114 322 336 340 366 384 406 420 436	-724091259832
SPT(16)	1213037509102320017	0 12 30 44 54 72 110 134 162 186 224 242 252 266 284 296	-635422049022
TPT(14)	1213037876633608547	0 2 12 14 54 56 84 86 90 92 144 146 174 176	-267890760492
STPT(12)	1213037922549240209	0 2 30 32 42 44 120 122 132 134 162 164	-221975128830
SPT(16)	1213038072093373549	0 22 34 70 100 114 118 130 132 144 148 162 192 228 240 262	-72430995490
STPT(10)	1213038702017055647	0 2 24 26 42 44 60 62 84 86	557492686608
SPT(16)	1213039032256607503	0 28 78 94 106 150 154 190 324 360 364 408 420 436 486 514	887732238464
SPT(20)	1213039037055807613	0 40 54 78 88 120 178 204 208 238 246 276 280 306 364 396 406 430 444 484	892531438574
STPT(10)	1213039092661045547	0 2 60 62 72 74 84 86 144 146	948136676508
SPT(16)	1213039430424515819	0 14 54 60 74 90 102 110 132 140 152 168 182 188 228 242	1285900146780