Prime p₀= 767868736141812629 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: Daniel
db: batch=73, k=10, 2 16 2 10 2

STPT(10)	767867809561579157	0 2 12 14 72 74 132 134 144 146	-926580233472
SPT(16)	767867830301560081	0 10 22 36 52 88 108 112 126 130 150 186 202 216 228 238	-905840252548
SPT(16)	767867917664276899	0 28 30 42 52 78 88 108 184 204 214 240 250 262 264 292	-818477535730
SPT(16)	767868017045726027	0 12 30 36 56 62 90 96 176 182 210 216 236 242 260 272	-719096086602
STPT(10)	767868241846405949	0 2 18 20 30 32 42 44 60 62	-494295406680
STPT(10)	767868524946260789	0 2 18 20 30 32 42 44 60 62	-211195551840
SPT(16)	767868995782378579	0 12 22 40 52 60 78 88 102 112 130 138 150 168 178 190	259640565950
SPT(16)	767869205320088779	0 4 22 42 112 144 160 162 172 174 190 222 292 312 330 334	469178276150
SPT(16)	767869211557140991	0 36 60 72 78 138 168 198 210 240 270 330 336 348 372 408	475415328362
STPT(10)	767869546373427497	0 2 24 26 42 44 60 62 84 86	810231614868
SPT(16)	767869580838618763	0 16 24 60 84 94 138 156 178 196 240 250 274 310 318 334	844696806134