Prime p₀= 2396111158009845977 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: Coleslaw
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2396109793256208707	0 2 60 62 72 74 84 86 144 146	-1364753637270
STPT(12)	2396110034395533887	0 2 30 32 54 56 90 92 114 116 144 146	-1123614312090
SPT(16)	2396110462143465241	0 40 82 102 108 130 150 168 220 238 258 280 286 306 348 388	-695866380736
STPT(10)	2396110763037783677	0 2 30 32 72 74 114 116 144 146	-394972062300
SPT(16)	2396110885664701883	0 6 44 54 66 86 90 116 138 164 168 188 200 210 248 254	-272345144094
SPT(16)	2396111005567681547	0 6 32 56 60 62 122 134 192 204 264 266 270 294 320 326	-152442164430
SPT(18)	2396111344385668193	0 36 44 78 120 180 188 296 300 434 438 546 554 614 656 690 698 734	186375822216
SPT(16)	2396111385749256599	0 48 50 78 120 138 188 242 288 342 392 410 452 480 482 530	227739410622
STPT(10)	2396111440428582977	0 2 42 44 72 74 102 104 144 146	282418737000
SPT(16)	2396111491379512657	0 36 100 102 126 160 226 232 240 246 312 346 370 372 436 472	333369666680
STPT(10)	2396111621348608949	0 2 42 44 60 62 78 80 120 122	463338762972