Prime p₀= 2333419380228440687 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: herby44
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2333417954084446937	0 26 30 54 66 80 92 96 140 144 156 170 182 206 210 236	-1426143993750
SPT(16)	2333417985311129257	0 52 66 72 102 126 142 192 220 270 286 310 340 346 360 412	-1394917311430
SPT(16)	2333418513091864477	0 30 52 66 76 90 112 166 396 450 472 486 496 510 532 562	-867136576210
STPT(10)	2333418608049795491	0 2 36 38 78 80 120 122 156 158	-772178645196
SPT(16)	2333418779596945093	0 6 18 28 54 84 126 148 186 208 250 280 306 316 328 334	-600631495594
SPT(16)	2333418845378383549	0 70 90 160 168 190 232 322 330 420 462 484 492 562 582 652	-534850057138
STPT(10)	2333419449330754661	0 2 30 32 60 62 90 92 120 122	69102313974
SPT(16)	2333419573523141143	0 10 18 46 76 96 108 150 196 238 250 270 300 328 336 346	193294700456
STPT(12)	2333421146885588729	0 2 12 14 48 50 132 134 168 170 180 182	1766657148042
SPT(16)	2333421174602926253	0 44 54 60 68 98 128 158 306 336 366 396 404 410 420 464	1794374485566
STPT(10)	2333421296782505777	0 2 12 14 42 44 72 74 84 86	1916554065090