Prime p₀= 2999117522225844359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2999116527981601007	0 2 14 50 54 66 80 92 144 156 170 182 186 222 234 236	-994244243352
STPT(10)	2999116671167366381	0 2 30 32 78 80 126 128 156 158	-851058477978
STPT(10)	2999116700315892911	0 2 66 68 138 140 210 212 276 278	-821909951448
SPT(16)	2999117180630708563	0 10 34 60 76 90 96 130 174 208 214 228 244 270 294 304	-341595135796
STPT(10)	2999117262470528609	0 2 12 14 90 92 168 170 180 182	-259755315750
STPT(10)	2999117453770919177	0 2 30 32 72 74 114 116 144 146	-68454925182
SPT(16)	2999117673477869641	0 22 42 48 76 90 106 136 162 192 208 222 250 256 276 298	151252025282
SPT(16)	2999117674744904957	0 12 60 72 116 122 132 164 342 374 384 390 434 446 494 506	152519060598
SPT(16)	2999117682316098331	0 42 70 88 130 132 160 172 228 240 268 270 312 330 358 400	160090253972
STPT(10)	2999117864059294301	0 2 36 38 78 80 120 122 156 158	341833449942
SPT(16)	2999117926841022421	0 52 70 100 112 120 138 162 226 250 268 276 288 318 336 388	404615178062