Prime p₀= 1000750003237204247 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1000749194884045337	0 20 30 80 206 216 224 230 240 246 254 264 390 440 450 470	-808353158910
SPT(16)	1000749562458471643	0 10 24 46 48 70 88 90 94 96 114 136 138 160 174 184	-440778732604
STPT(10)	1000749651766172447	0 2 42 44 72 74 102 104 144 146	-351471031800
SPT(16)	1000749748205644627	0 36 102 120 126 154 220 234 292 306 372 400 406 424 490 526	-255031559620
STPT(10)	1000749752073157781	0 2 30 32 60 62 90 92 120 122	-251164046466
STPT(10)	1000749940919636819	0 2 18 20 30 32 42 44 60 62	-62317567428
STPT(10)	1000750923875649137	0 2 42 44 72 74 102 104 144 146	920638444890
SPT(16)	1000751078456257013	0 36 48 68 86 90 116 120 194 198 224 228 246 266 278 314	1075219052766
SPT(16)	1000751242715080537	0 10 16 22 72 94 114 126 130 142 162 184 234 240 246 256	1239477876290
SPT(16)	1000751590211098639	0 42 70 84 114 144 172 184 210 222 250 280 310 324 352 394	1586973894392
TPT(14)	1000751689480234499	0 2 78 80 90 92 108 110 132 134 192 194 222 224	1686243030252