Prime p₀= 1121588649474379157 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: Gumbo
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1121587790108317841	0 8 30 36 56 72 108 126 152 170 206 222 242 248 270 278	-859366061316
STPT(10)	1121587867663042691	0 2 6 8 18 20 30 32 36 38	-781811336466
TPT(14)	1121588194609757687	0 2 42 44 234 236 294 296 324 326 414 416 444 446	-454864621470
STPT(10)	1121588195937118991	0 2 6 8 48 50 90 92 96 98	-453537260166
SPT(16)	1121588223358111493	0 20 48 138 180 266 320 446 468 594 648 734 776 866 894 914	-426116267664
SPT(16)	1121588415713597317	0 76 84 106 120 136 204 246 274 316 384 400 414 436 444 520	-233760781840
STPT(10)	1121588792198388929	0 2 18 20 30 32 42 44 60 62	142724009772
SPT(16)	1121588919580318489	0 24 40 54 88 108 112 124 138 150 154 174 208 222 238 262	270105939332
STPT(10)	1121590674043473449	0 2 12 14 30 32 48 50 60 62	2024569094292
SPT(16)	1121590784777783809	0 30 34 48 60 88 90 144 184 238 240 268 280 294 298 328	2135303404652
STPT(10)	1121591209523871389	0 2 30 32 120 122 210 212 240 242	2560049492232