Prime p₀= 2678632940551471661 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2678631790404062429	0 18 32 54 60 98 114 122 270 278 294 332 338 360 374 392	-1150147409232
STPT(10)	2678632036415402159	0 2 78 80 120 122 162 164 240 242	-904136069502
SPT(16)	2678632678936936013	0 36 50 90 110 116 138 140 144 146 168 174 194 234 248 284	-261614535648
SPT(16)	2678632839454644361	0 18 66 72 102 108 120 126 172 178 190 196 226 232 280 298	-101096827300
TPT(14)	2678632862045110469	0 2 42 44 48 50 102 104 198 200 462 464 540 542	-78506361192
SPT(16)	2678632914397796269	0 58 60 82 88 124 130 172 180 222 228 264 270 292 294 352	-26153675392
STPT(10)	2678633117196537377	0 2 30 32 60 62 90 92 120 122	176645065716
STPT(10)	2678633596200198779	0 2 18 20 30 32 42 44 60 62	655648727118
STPT(10)	2678633690102445611	0 2 6 8 48 50 90 92 96 98	749550973950
TPT(14)	2678633770928109077	0 2 24 26 72 74 114 116 312 314 360 362 420 422	830376637416
SPT(16)	2678633801347432963	0 40 46 88 100 136 144 154 240 250 258 294 306 348 354 394	860795961302