Prime p₀= 2181332746143621779 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: [SG-FC] hl
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2181331508485627067	0 12 26 42 72 92 96 120 296 320 324 344 374 390 404 416	-1237657994712
STPT(10)	2181332163136658657	0 2 30 32 72 74 114 116 144 146	-583006963122
TPT(14)	2181332365482619169	0 2 18 20 78 80 132 134 162 164 168 170 270 272	-380661002610
TPT(14)	2181332515318772069	0 2 42 44 48 50 90 92 132 134 168 170 198 200	-230824849710
STPT(10)	2181332583325794761	0 2 30 32 78 80 126 128 156 158	-162817827018
STPT(10)	2181332675344581929	0 2 18 20 30 32 42 44 60 62	-70799039850
STPT(10)	2181333328314900449	0 2 18 20 30 32 42 44 60 62	582171278670
SPT(16)	2181333549733312127	0 2 6 86 96 140 150 182 324 356 366 410 420 500 504 506	803589690348
SPT(16)	2181333720734736037	0 10 16 40 72 82 96 100 192 196 210 220 252 276 282 292	974591114258
SPT(16)	2181333890645746853	0 30 66 78 80 86 104 224 240 360 378 384 386 398 434 464	1144502125074
SPT(16)	2181333976726697839	0 28 30 34 88 114 118 180 202 264 268 294 348 352 354 382	1230583076060