Prime p₀= 2999288165117823149 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Rantanplan
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2999287220123578229	0 2 18 20 30 32 42 44 60 62	-944994244920
SPT(16)	2999287352323809181	0 42 52 60 78 88 90 112 126 148 150 160 178 186 196 238	-812794013968
SPT(16)	2999287452004102967	0 2 56 66 74 96 114 116 120 122 140 162 170 180 234 236	-713113720182
STPT(10)	2999287708517321057	0 2 42 44 72 74 102 104 144 146	-456600502092
SPT(16)	2999287864668392281	0 10 28 90 108 132 136 138 160 162 166 190 208 270 288 298	-300449430868
SPT(16)	2999288101630654439	0 60 84 104 114 152 168 210 242 284 300 338 348 368 392 452	-63487168710
SPT(16)	2999288664403042729	0 12 34 48 58 70 72 100 102 130 132 144 154 168 190 202	499285219580
STPT(10)	2999288749553596469	0 2 12 14 30 32 48 50 60 62	584435773320
SPT(16)	2999288848140025513	0 4 10 66 150 154 156 210 244 298 300 304 388 444 450 454	683022202364
TPT(14)	2999289187216323689	0 2 48 50 72 74 228 230 240 242 252 254 312 314	1022098500540
STPT(10)	2999289443734027859	0 2 18 20 30 32 42 44 60 62	1278616204710