Prime p₀= 1070454197233633307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1070453299815268301	0 6 36 38 66 78 86 98 150 162 170 182 210 212 242 248	-897418365006
SPT(16)	1070453439423094723	0 10 16 34 36 58 78 84 100 106 126 148 150 168 174 184	-757810538584
STPT(10)	1070453549031141851	0 2 36 38 78 80 120 122 156 158	-648202491456
SPT(16)	1070453551258298413	0 16 30 64 94 136 156 180 220 244 264 306 336 370 384 400	-645975334894
STPT(10)	1070453951922324587	0 2 60 62 102 104 144 146 204 206	-245311308720
STPT(10)	1070454078153002339	0 2 18 20 30 32 42 44 60 62	-119080630968
SPT(20)	1070454229802950457	0 20 26 62 80 90 110 180 204 246 320 362 386 456 476 486 504 540 546 566	32569317150
TPT(14)	1070454319388817017	0 2 54 56 90 92 222 224 264 266 312 314 342 344	122155183710
STPT(10)	1070454342177856451	0 2 6 8 48 50 90 92 96 98	144944223144
SPT(16)	1070454397006595053	0 4 10 18 34 60 70 76 78 84 94 120 136 144 150 154	199772961746
SPT(16)	1070454529650042263	0 56 74 86 90 104 116 138 146 168 180 194 198 210 228 284	332416408956