Prime p₀= 2113353093540083567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Time_Traveler
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2113352116135776337	0 24 82 100 112 150 202 222 262 282 334 372 384 402 460 484	-977404307230
STPT(10)	2113352362073304629	0 2 12 14 90 92 168 170 180 182	-731466778938
SPT(16)	2113352394330504989	0 30 48 62 78 98 102 120 140 158 162 182 198 212 230 260	-699209578578
SPT(16)	2113352426548703321	0 18 20 92 98 102 120 132 296 308 326 330 336 408 410 428	-666991380246
STPT(10)	2113352657855577557	0 2 12 14 42 44 72 74 84 86	-435684506010
STPT(10)	2113352958700488257	0 2 30 32 42 44 54 56 84 86	-134839595310
STPT(10)	2113353124322138519	0 2 42 44 60 62 78 80 120 122	30782054952
STPT(10)	2113353184487458757	0 2 30 32 42 44 54 56 84 86	90947375190
SPT(16)	2113353253980532763	0 8 14 30 44 56 108 170 174 236 288 300 314 330 336 344	160440449196
STPT(10)	2113353394016438237	0 2 42 44 72 74 102 104 144 146	300476354670
SPT(16)	2113353587436227407	0 10 22 40 52 64 84 90 124 130 150 162 174 192 204 214	493896143840